Results 21 to 30 of about 5,273 (133)
On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
AIMS Mathematics, 2021 The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard ...
Thabet Abdeljawad +3 more
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Some Improvements of Jensen’s Inequality via 4‐Convexity and Applications
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The intention of this note is to investigate some new important estimates for the Jensen gap while utilizing a 4‐convex function. We use the Jensen inequality and definition of convex function in order to achieve the required estimates for the Jensen gap.
Hidayat Ullah +4 more
wiley +1 more source
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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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
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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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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
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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
Exponential convexity for Jensen’s inequality for norms [PDF]
, 2016 In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Josip Pečarić +2 more
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Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality [PDF]
, 2009 In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients.
Dragomir, Sever S
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AIMS Mathematics, 2023 The objective of this paper is to explore novel unified continuous and discrete versions of the Trapezium-Jensen-Mercer (TJM) inequality, incorporating the concept of convex mapping within the framework of $ {\mathfrak{q}} $-calculus, and utilizing ...
Bandar Bin-Mohsin +6 more
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