Results 21 to 30 of about 30,421 (194)
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
Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
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k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications
Journal of Function Spaces, 2021 This article is aimed at studying novel generalizations of Hermite-Mercer-type inequalities within the Riemann-Liouville k-fractional integral operators by employing s-convex functions. Two new auxiliary results are derived to govern the novel fractional
Saad Ihsan Butt +3 more
doaj +1 more source
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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Reverse Jensen-Mercer Type Operator Inequalities
The Electronic Journal of Linear Algebra, 2016 Let $A$ be a selfadjoint operator on a Hilbert space $\mathcal{H}$ with spectrum in an interval $[a,b]$ and $\phi:B(\mathcal{H})\rightarrow B(\mathcal{K})$ be a unital positive linear map, where $\mathcal{K}$ is also a Hilbert space.
Anjidani, Ehsan +1 more
openaire +2 more sources
Journal of Inequalities and Applications, 2023 In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator.
Fahd Jarad +5 more
doaj +1 more source
fixed point, ψ-contraction, r-hybrid ψ-contraction, dynamic programming, integral equation
AIMS Mathematics, 2021 In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer
Miguel Vivas-Cortez +3 more
doaj +1 more source
On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
Fractal and Fractional, 2023 This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo +4 more
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Self-repelling diffusions on a Riemannian manifold [PDF]
, 2016 Let M be a compact connected oriented Riemannian manifold. The purpose of this paper is to investigate the long time behavior of a degenerate stochastic differential equation on the state space $M\times \mathbb{R}^{n}$; which is obtained via a natural ...
Benaïm, Michel, Gauthier, Carl-Erik
core +3 more sources
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