Results 41 to 50 of about 357 (173)

Extension of Hu Ke's inequality and its applications

open access: yesJournal 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  

On the Theory of n‐Polynomial ϕ‐Convex Functions

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang   +4 more
wiley   +1 more source

On some Opial-type inequalities

open access: yesJournal 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  

Games of chance with multiple objectives

open access: yes
Probabilistic games, Majorization, Schur convexity, Coupon collector, 91A60, 60C05, 26D15, 26B25,
Paul Campbell
core   +1 more source

Boundedness of positive operators on weighted amalgams [PDF]

open access: yes, 2011
In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam in (Lp (u), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal ...
María Isabel Aguilar Cañestro   +3 more
core   +1 more source

Parameterized Fractional Newton‐Type Inequalities for (ρ, h) Convex Functions via Generalized Riemann–Liouville Operators With Applications

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Motivated by the recent work of Samraiz, Ashraf and Naheed [J. Inequal. Appl. (2026)], which established Newton‐type inequalities for differentiable p‐convex functions via (k, s)‐Riemann–Liouville fractional integrals, the present paper develops a parameterized framework for related Newton‐type estimates. Two ingredients are considered. First, a kernel
Liqiang Chen   +2 more
wiley   +1 more source

On some generalized integral inequalities for φ-convex functions [PDF]

open access: yes, 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  

Integral inequalities via harmonically h-convexity

open access: yesMoroccan 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

Hardy–Hilbert Inequalities in Weighted Morrey Spaces: Commutators and Applications to Fractional PDEs on Bounded Domains for Financial Analysis

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop Hardy–Hilbert‐type integral estimates in weighted Morrey spaces on bounded domains and study the associated commutators with BMO symbols. The analysis is positioned relative to existing weighted Morrey estimates for fractional and rough operators, and the hypotheses needed for the fractional‐integral reduction are stated ...
Philip Ajibola Bankole   +3 more
wiley   +1 more source

Refined Weighted Schweitzer‐Type Inequalities With Applications to Statistical Moments

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we establish a weighted version of the classical Schweitzer integral inequality for positive bounded functions. We first derive a sharp upper bound for the product of two weighted integrals involving a function and its reciprocal. We then obtain a refined form of the inequality containing an explicit nonnegative remainder term, which ...
Rubayyi T. Alqahtani   +2 more
wiley   +1 more source

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