Search Results (110)

In this study, an integral identity is given in order to present some Hermite–Hadamard–Mercer-type inequalities for functions whose powers of the absolute values of the third derivatives are convex. Several consequences and three applications to special means are given, as well as four examples with graphics which illustrate the validity of the results. Moreover, several Hermite–Hadamard–Mercer-type inequalities for fractional integrals for functions whose powers of the absolute values of the third derivatives are convex are presented. Full article

The article provides a narrative review of the social and cultural interpretation of pesticides in contemporary society. In so doing, it highlights the main fields of exploration investigated by social scientists concerning the perception and role played by these products among farmers and consumers. Following the WHO definition, pesticides are chemical compounds used to kill pests, including insects, rodents, fungi, and unwanted plants. They are contemporary cultural artefacts that social sciences explore in synergy with other disciplines to highlight their socio-cultural connections at both local and global levels. Specifically, the use of these products is connected with power relations, which are embedded in and reflect imbalances and inequalities in access to rights and resources, as well as specific articulation of the perception of risk arising from environmental contamination in terms of individual and collective psychophysical health. Furthermore, pesticides fit into various environmental conceptions and multiple local knowledge systems, representing the intersection of different cultural heritages, worldviews, and rationales that make the tradition–modernity dichotomy complex and dynamic. In this respect, therefore, pesticides can be understood not just as mere tools for agricultural practice but as vital windows through which to investigate multiple layers of meaning to support transitions towards sustainable pest management systems, both environmentally and socio-culturally. Full article

Building upon previous research in conformable fractional calculus, this study introduces a novel identity. Using this identity as a foundation, we derive a set of conformable fractional Milne-type inequalities specifically designed for differentiable convex functions. The obtained results recover some existing inequalities in the literature by fixing some parameters. These novel contributions aim to enrich the analytical tools available for studying convex functions within the realm of conformable fractional calculus. The derived inequalities reflect an inherent symmetry characteristic of the Milne formula, further illustrating the balanced and harmonious mathematical structure within these frameworks. We provide a thorough example with graphical representations to support our findings, offering both numerical insights and visual confirmation of the established inequalities. Full article

Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and signal processing. The main goal of this article is to establish a novel and generalized identity for the Caputo–Fabrizio fractional operator. With the help of this specific developed identity, we derive new fractional integral inequalities via exponential convex functions. Furthermore, we give an application to some special means. Full article

The purpose of the paper is to present new q-parametrized Hermite–Hadamard-like type integral inequalities for functions whose third quantum derivatives in absolute values are s-convex and $(\alpha ,m)$-convex, respectively. Two new q-integral identities are presented for three time q-differentiable functions. These lemmas are used like basic elements in our proofs, along with several important tools like q-power mean inequality, and q-Holder’s inequality. In a special case, a non-trivial example is considered for a specific parameter and this case illustrates the investigated results. We make links between these findings and several previous discoveries from the literature. Full article

The social construction of nature aims to emphasise that the concept of nature has multiple meanings that vary in different socio-cultural contexts. This underlines the multiple ways in which both structures and individuals understand, explain, and engage with nature and the environment. Consequently, nature and cultures/societies are not separate entities, but are intertwined in complex and interdependent relationships. Therefore, nature is the result of human perceptions and social practices. The way we interact with, perceive, interpret, and value nature is influenced by a given society’s history and sociocultural factors. This intimate relationship is closely linked to power–knowledge and influence relations. Those with more power can impose a particular vision of, and relationship with, nature, resulting in inequalities and potentially harmful relations that can explain the environmental degradation that the contemporary world faces globally, despite its expression in particular contexts, thus configuring plural natures. Full article

Representations of adoptions tend to concentrate on normatively conceived forms of identity, which prioritize the genetic lineage of adoptees. In contrast, scholarship on autobiographical writing emphasizes that identities are not fixed but are always in process and intersectional because they are formed in within inequal power relations. Kay’s experimental, autobiographical narrative Red Dust Road (2010) tackles the themes of adoption, the search for close relatives, and reunion. Many scholars of her autobiographical writings describe the fluidity of the diasporic adoptee identities created by her. My aim is more specific: I examine what I call Kay’s continuously mobile, processual identity construction as a transracial adoptee in Red Dust Road. I argue that her identity formation, which is also intersectional, is interconnected with her multidirectional networks of attachments and the experimental form of her adoption narrative. In addition to an intersectional approach and autobiographical studies, I draw on insights from adoption studies. In my reading of Kay’s work, I pay special attention to the inequalities derived from the intersecting vectors of adoption and race, which also intersect with other dimensions of difference, such as nation, gender, class, and sexual orientation. I employ the notion of the multidirectional in the sense in which McLeod applies it to the study of adoption writing. As I demonstrate, multidirectionality and the complex form of Red Dust Road provide versatile means of conveying Kay’s fragmented acts of memory, which assist her ongoing mobile, processual identity construction. Her multidirectional lines of transformative attachments finally bond her to her adoptive and biogenetic families as well as other affective connections. While Kay’s socially significant narrative indicates, amongst other adoption issues, that transracial adoptions can be successful, it is significant that it has no closure. The last chapter gestures toward potential new beginnings, which indicates that the story of adoption has no end. Full article

The theory of convexity pertaining to fractional calculus is a well-established concept that has attracted significant attention in mathematics and various scientific disciplines for over a century. In the realm of applied mathematics, convexity, particularly in relation to fractional analysis, finds extensive and remarkable applications. In this manuscript, we establish new fractional identities. Employing these identities, some extensions of the fractional H-H type inequality via generalized preinvexities are explored. Finally, we discuss some applications to the q-digamma and Bessel functions via the established results. We believe that the methodologies and approaches presented in this work will intrigue and spark the researcher’s interest even more. Full article

Globally, large numbers of adults remain unbanked, and most of them live in rural areas of the Third World. The recent outbreak of the COVID-19 pandemic has shown us how inequalities in accessing financial services continue to affect us. However, digital financial inclusion has emerged as an effective tool used to tackle socioeconomic ills and drive economic development. In fact, due to these modern technological developments, the number of studies in this area is very limited, especially in the context of developing economies. This study examines the impacts of migrant remittances on digital financial inclusion within households in Bangladesh by using the Migration and Remittance Household Survey. To meet the research objectives of this study, a household survey was conducted and 2165 households interviewed in 2022–2023 in Bangladesh. The survey data collected was tested using univariate and multivariate estimations. This study finds that the coefficient of remittance has positive relationships with the probability of e-bank accounts and the use of mobile banking for a household’s financial transactions. However, the use of ATM cards by households for financial transactions has not been significantly affected. The article concludes that remittance flows may enhance access to and use of means of digital financial inclusion by reducing some of the barriers and costs in Bangladesh, which could greatly contribute to the country’s economic growth by creating and increasing a strong fund for investment. The findings of this study can help in taking various steps to facilitate the most powerful financial sector of Bangladesh, namely, remittance management. Full article

Social responsibility has been a core value of the nursing profession, particularly in the area of health disparity. Nevertheless, it is unclear what is meant by social responsibility. This study examined ways to define the concept of the social responsibility of nursing organizations to understand the meaning of social responsibility in the nursing profession. Methods: The concept analysis process reported by Walker and Avant was used to clarify the meaning of social responsibility in nursing organizations. Results: Defining the attributes of the social responsibility of nursing organizations included accessing, educating, and practicing as approaches for strategizing the social and structural change in inequity, caring for oppressed groups suffering socially from those with privilege and power, and taking action for health policy changes in social and political unequal contexts. The antecedents of social responsibility in nursing organizations included recognizing personal characteristics, the perspective of vulnerable populations, and the social and environmental status quo, as well as educating public services on the ethical and moral reasoning of social issues. The consequences of the social responsibility of nursing organizations were achieving social justice as equal access to basic human health needed at a societal level, equal access to effective nursing practices, and the development of health promotion policies for world health administrative practices in nursing. Conclusion: This study provides guidance to direct future studies by identifying conceptual attributes in the context of the social responsibility of nursing organizations. Full article

Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function. Practicing majorization theory, we formulate a new auxiliary identity by utilizing fractional integral operators. In order to obtain new bounds, we employ the idea of convex functions on the Niezgoda–Jensen–Mercer inequality for majorized tuples, along with some fundamental inequalities including the Hölder, power mean, and Young inequalities. Some applications to the quadrature rule and examples for special functions are provided as well. Interestingly, the main findings are the generalizations of many known results in the existing literature. Full article

The mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means. We establish sharp power mean bounds for two Seiffert-like means, including the introduction and establishment of the best asymmetric mean bounds for symmetric means. Additionally, we explore the practical applications of these findings by extending several intriguing chains of inequalities that involve more than ten means. This comprehensive analysis provides a deeper understanding of the relationships and properties of these means. Full article

The primary intent of this study is to establish some important inequalities of the Hermite–Hadamard, trapezoid, and midpoint types under fractional extended Riemann–Liouville integrals (FERLIs). The proofs are constructed using the renowned Jensen–Mercer, power-mean, and Holder inequalities. Various equalities for the FERLIs and convex functions are construed to be the mainstay for finding new results. Some connections between our main findings and previous research on Riemann–Liouville fractional integrals and FERLIs are also discussed. Moreover, a number of examples are featured, with graphical representations to illustrate and validate the accuracy of the new findings. Full article