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Hermite–Hadamard-Mercer Type Inequalities for Interval-Valued Coordinated Convex Functions
AxiomsDetermining the Jensen–Mercer inequality for interval-valued coordinated convex functions has been a challenging task for researchers in the fields of inequalities and interval analysis.
Muhammad Toseef +3 more
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Note on generalization of the Jensen-Mercer inequality by Taylor's polynomial
Mathematical Inequalities & Applications, 2019 We present generalizations of the Jensen .Mercer inequality for the class of n -convex functions.
A. Matković, J. Pečarić
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Symmetry, 2023 The objective of this study is to identify novel quantum midpoint-type inequalities for twice q-differentiable functions by utilizing Mercer’s approach. We introduce a new auxiliary variant of the quantum Mercer midpoint-type identity related to twice q ...
S. Butt, Muhammad Umar, H. Budak
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JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS
Fractals, 2021 The most notable inequality pertaining convex functions is Jensen’s inequality which has tremendous applications in several fields. Mercer introduced an important variant of Jensen’s inequality called as Jensen–Mercer’s inequality.
S. Butt +3 more
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Generalization and refinements of the Jensen-Mercer inequality with applications
Journal of Mathematical Inequalities, 2021 . We give a generalization followed by re fi nements of Jensen-Mercer inequality in va- riety of ways. We also highlight its importance by stating plenty of applications.
Asif R Khan +2 more
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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Generalization of Jensen Mercer inequality on Delta integral with Applications
European Journal of Pure and Applied Mathematics, 2023 The aim of this article is to give generalization of Jensen Mercer inequality on deltaintegral along with applications to Ky Fan inequality and related results.
Sadia Chanan, Nazia Irshad, A. Khan
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Alexandria Engineering Journal, 2022 In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu +4 more
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On some inequalities for uniformly convex mapping with estimations to normal distributions
Journal of Inequalities and Applications, 2023 In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly convex functions. We explore some interesting properties of such a class of functions along with some examples.
Saad Ihsan Butt +4 more
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Alexandria Engineering Journal, 2023 The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo +4 more
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