Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements
MathematicsIn this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
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New Study on the Quantum Midpoint-Type Inequalities for Twice q-Differentiable Functions via the Jensen–Mercer Inequality [PDF]
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 ...
Saad Ihsan Butt +2 more
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Jensen–Mercer inequality for GA-convex functions and some related inequalities
Journal of Inequalities and Applications, 2020 In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
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Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications [PDF]
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, Afshan Khan
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Generalizations of the Jensen–Mercer Inequality via Fink’s Identity
Mathematics, 2021 We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n ...
Anita Matković
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Generalization and refinements of the Jensen-Mercer inequality with applications [PDF]
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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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES [PDF]
Rocky Mountain Journal of Mathematics, 2023 The Jensen-Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite-Jensen-Mercer inequality for post-quantum integrals by utilizing Jensen-Mercer ...
Bohner, Martin +2 more
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The Jensen-Mercer Inequality with Infinite Convex Combinations
Mathematical sciences and applications e-notes, 2019 The paper deals with discrete forms of double inequalities related to convex functions of one variable. Infinite convex combinations and sequences of convex combinations are included.
Zlatko PAVİC
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