In this paper, we first derive a weighted Montgomery identity on time scales and then establish w... more In this paper, we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski-type, Trapezoid-type, Grüss-type and Ostrowski–Grüss-like inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.
In this paper, we first derive a weighted Montgomery identity on time scales and then establish w... more In this paper, we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski-type, Trapezoid-type, Grüss-type and Ostrowski–Grüss-like inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.
In this paper, we obtain an Ostrowski and Ostrowski–Grüss type inequality on time scales, which n... more In this paper, we obtain an Ostrowski and Ostrowski–Grüss type inequality on time scales, which not only provides a generalization of the known results on time scales, but also give some other interesting inequalities as special cases.
The author extends the concepts of compatibility and R-weak commutatitvity due to S. Muralisankar... more The author extends the concepts of compatibility and R-weak commutatitvity due to S. Muralisankar, P. Balasubramaniam and D. Turkoglu [J. Fuzzy Math. 10, No. 4, 809–815 (2002; Zbl 1027.54010)] in fuzzy metric spaces to the context of intuitionistic fuzzy metric spaces in order to prove a common fixed point theorem.
In this paper, we first derive a weighted Montgomery identity on time scales and then establish w... more In this paper, we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski-type, Trapezoid-type, Grüss-type and Ostrowski–Grüss-like inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.
In this paper, we first derive a weighted Montgomery identity on time scales and then establish w... more In this paper, we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski-type, Trapezoid-type, Grüss-type and Ostrowski–Grüss-like inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.
In this paper, we obtain an Ostrowski and Ostrowski–Grüss type inequality on time scales, which n... more In this paper, we obtain an Ostrowski and Ostrowski–Grüss type inequality on time scales, which not only provides a generalization of the known results on time scales, but also give some other interesting inequalities as special cases.
The author extends the concepts of compatibility and R-weak commutatitvity due to S. Muralisankar... more The author extends the concepts of compatibility and R-weak commutatitvity due to S. Muralisankar, P. Balasubramaniam and D. Turkoglu [J. Fuzzy Math. 10, No. 4, 809–815 (2002; Zbl 1027.54010)] in fuzzy metric spaces to the context of intuitionistic fuzzy metric spaces in order to prove a common fixed point theorem.
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