Results 41 to 50 of about 340 (177)
New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz +5 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar +2 more
wiley +1 more source
Extension of Hu Ke's inequality and its applications
Journal of Inequalities and Applications, 2011 In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
wiley +1 more source
Games of chance with multiple objectives
Probabilistic games, Majorization, Schur convexity, Coupon collector, 91A60, 60C05, 26D15, 26B25,
Paul Campbell
core +1 more source
On some generalized integral inequalities for φ-convex functions [PDF]
, 2015 The main goal of the paper is to state and prove some new general inequalities for φ-convex function.
BÜYÜKEKEN, Meltem +2 more
core
Ostrowski type inequalities for functions whose derivatives are strongly (α, m)-convex via k-Riemann-Liouville fractional integrals [PDF]
, 2019 In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly (α, m)- convex with modulus µ ≥ 0 via the k-Riemann-Liouville fractional integrals.
KERMAUSUOR, Seth
core +1 more source
On some Opial-type inequalities
Journal of Inequalities and Applications, 2011 In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Cheung Wing-Sum, Zhao Chang-Jian
doaj
Integral inequalities via harmonically h-convexity
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem +2 more
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency +10 more
wiley +1 more source