Results 31 to 40 of about 222 (170)

Improved Hardy Inequality and Applications [PDF]

open access: yes, 2015
[Fabricant Alexander; Фабрикант Александър]; [Kutev Nikolai; Кутев Николай]; [Rangelov Tsviatko; Рангелов Цвятко]2010 Mathematics Subject Classification ...
Rangelov, Tsviatko   +2 more
core  

An application of Hayashi's inequality in numerical integration

open access: yesOpen Mathematics, 2023
This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem   +4 more
doaj   +1 more source

New Hardy-Type Inequalities with Singular Weights [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 26D10.We prove a new Hardy–type inequality with weights that are possibly singular at internal point and on the boundary of the domain.
Rangelov, Tsviatko   +2 more
core  

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab   +3 more
wiley   +1 more source

The 123 theorem of Probability Theory and Copositive Matrices

open access: yesSpecial Matrices, 2014
Alon and Yuster give for independent identically distributed real or vector valued random variablesX, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derivethese using copositive matrices instead.
Kovačec Alexander   +2 more
doaj   +1 more source

Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

open access: yesOpen Mathematics, 2022
In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J.   +4 more
doaj   +1 more source

On boundedness and compactness of a certain class of kernel operators

open access: yesJournal of Function Spaces, Volume 9, Issue 1, Page 67-107, 2011., 2011
New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
wiley   +1 more source

Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators

open access: yesAdvances in Nonlinear Analysis, 2016
We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
doaj   +1 more source

Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions

open access: yes, 2023
By using the fixed point theorems, we give sufficient conditions for the existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear
TOPRAKSEVEN, Şuayip
core   +1 more source

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

open access: yesJournal 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

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