In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functi... more In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functions which are super-multiplicative or super-additive and nonnegative. Some applications for special means and PDF's are given.
In this paper, we establish some new inequalities for class of SX (h, I) convex functions which a... more In this paper, we establish some new inequalities for class of SX (h, I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.
In this paper we establish some new inequalities of Hadamard-type for product of convex and s−con... more In this paper we establish some new inequalities of Hadamard-type for product of convex and s−convex functions in the second sense.
In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha... more In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.
In this study, we establish and generalize some inequalities of Hadamard and Simpson type based o... more In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in [11] and [13].
We have made some new definitions using the inequalities of Young' and Nesbitt'. And we h... more We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt sense.
Journal of the Egyptian Mathematical Society, 2014
The main aim of the present note is to establish new Hadamard like integral inequalities involvin... more The main aim of the present note is to establish new Hadamard like integral inequalities involving log-convex function. We also prove some Hadamard-type inequalities, and applications to the special means are given.
In this study, the author establish some inequalities of Hadamard like based on convex and s-conv... more In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.
In this paper, we establish some new Ostrowski type inequalities for the class of h−convex functi... more In this paper, we establish some new Ostrowski type inequalities for the class of h−convex functions which are super-multiplicative or superadditive and nonnegative. Some applications for special means and PDF's are given.
ABSTRACT In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on... more ABSTRACT In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.
In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose m... more In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.
In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex fun... more In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our results to P.D.F.'s are given.
In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ord... more In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.
In this paper, the authors establish a new type integral inequalities for differentiable s-convex... more In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related to the s-convex functions and apply these inequalities to special means for positive real numbers.
In this papaer, we put forward some new definitions and integral inequalities by using fairly ele... more In this papaer, we put forward some new definitions and integral inequalities by using fairly elementary analysis.
In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h − ... more In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h − s) 1,2 −convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.
In the present paper we establish some new integral inequalities analogous to the well known Hada... more In the present paper we establish some new integral inequalities analogous to the well known Hadamard's inequality by using a fairly elementary analysis.
In this paper, we establish some new Hadamard type inequalities using elementary well known inequ... more In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.
In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functi... more In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functions which are super-multiplicative or super-additive and nonnegative. Some applications for special means and PDF's are given.
In this paper, we establish some new inequalities for class of SX (h, I) convex functions which a... more In this paper, we establish some new inequalities for class of SX (h, I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.
In this paper we establish some new inequalities of Hadamard-type for product of convex and s−con... more In this paper we establish some new inequalities of Hadamard-type for product of convex and s−convex functions in the second sense.
In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha... more In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.
In this study, we establish and generalize some inequalities of Hadamard and Simpson type based o... more In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in [11] and [13].
We have made some new definitions using the inequalities of Young' and Nesbitt'. And we h... more We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt sense.
Journal of the Egyptian Mathematical Society, 2014
The main aim of the present note is to establish new Hadamard like integral inequalities involvin... more The main aim of the present note is to establish new Hadamard like integral inequalities involving log-convex function. We also prove some Hadamard-type inequalities, and applications to the special means are given.
In this study, the author establish some inequalities of Hadamard like based on convex and s-conv... more In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.
In this paper, we establish some new Ostrowski type inequalities for the class of h−convex functi... more In this paper, we establish some new Ostrowski type inequalities for the class of h−convex functions which are super-multiplicative or superadditive and nonnegative. Some applications for special means and PDF's are given.
ABSTRACT In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on... more ABSTRACT In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.
In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose m... more In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.
In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex fun... more In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our results to P.D.F.'s are given.
In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ord... more In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.
In this paper, the authors establish a new type integral inequalities for differentiable s-convex... more In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related to the s-convex functions and apply these inequalities to special means for positive real numbers.
In this papaer, we put forward some new definitions and integral inequalities by using fairly ele... more In this papaer, we put forward some new definitions and integral inequalities by using fairly elementary analysis.
In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h − ... more In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h − s) 1,2 −convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.
In the present paper we establish some new integral inequalities analogous to the well known Hada... more In the present paper we establish some new integral inequalities analogous to the well known Hadamard's inequality by using a fairly elementary analysis.
In this paper, we establish some new Hadamard type inequalities using elementary well known inequ... more In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.
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