Results 31 to 40 of about 813,258 (169)
Axioms, 2023 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).
Abd-Allah Hyder +2 more
doaj +3 more sources
Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications
Journal of Inequalities and ApplicationsStrongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality.
Slavica Ivelić Bradanović +1 more
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Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory [PDF]
, 2000 Some new inequalities which counterpart Jensen’s discrete inequality and improve the recent results from S.S. DRAGOMIR, "A converse result for Jensen’s discrete inequality via Grüss’ inequality and applications in information theory" and S.S. DRAGOMIR, "
Budimir, I +2 more
core +6 more sources
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
doaj +1 more source
Generalization and refinements of the Jensen-Mercer inequality with applications [PDF]
Journal of Mathematical Inequalities, 2021 Summary: We give a generalization followed by refinements of Jensen-Mercer inequality in variety of ways. We also highlight its importance by stating plenty of applications. In this way our main results generalize many established results including Ky Fan's Inequality, Popoviciu's inequalities and Rado's inequalities etc.
Khan, Asif R. +2 more
openaire +2 more sources
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
doaj +1 more source
On a variant of the Jensen-Mercer inequality for operators [PDF]
Journal of Mathematical Inequalities, 2008 Some refinements of the Jensen-Mercer inequality for operators are presented. Obtained results are used to refine some comparision inequalities between power and quasi-arithmetic means for operators.
Matković, Anita, Pečarić, Josip
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On the refinements of Jensen Mercer's inequality
Journal of Numerical Analysis and Approximation Theory, 2012 In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.
Muhammad Adil Khan +2 more
openaire +4 more sources
On Some New Ostrowski–Mercer-Type Inequalities for Differentiable Functions
Axioms, 2022 In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some Ostrowski–Mercer-type inequalities for differentiable convex functions.
Ifra Bashir Sial +4 more
doaj +1 more source
, 2023 In this paper, we present a variant of discrete Jensen-type inequality for generalized strongly convex functions on a real linear fractal set Rα ( 0 < α ≤ 1).
Saad Ihsan Butt
core +1 more source