Results 71 to 80 of about 222 (170)

Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version [PDF]

, 2005
Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β.
Samko, Stefan
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Ostrowski type inequalities for functions whose derivatives are strongly (α, m)-convex via k-Riemann-Liouville fractional integrals

, 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

Hardy-Type Inequalities with Weights [PDF]

, 2015
[Fabricant Alexander; Фабрикант Александър]; [Kutev Nikolai; Кутев Николай]; [Rangelov Tsviatko; Рангелов Цвятко]Hardy-type inequality with weights is derived in abstract form. Particular cases are presented to demonstrate the applicability of the method
Rangelov, Tsviatko, Fabricant, Alexander, Kutev, Nikolai   +2 more
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Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

Annales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

Integral estimates for a class Bn of operators

, 2018
Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of operators B that map Pn into itself. In this paper, we establish certain integral estimates concerning B-operator, and thereby obtain generalizations as well as ...
WALI, Shah Lubna, LIMAN, Abdul
core   +1 more source

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

© Hindawi Publishing Corp. A MORE GENERALIZED GRONWALL-LIKE INTEGRAL INEQUALITY WITH APPLICATIONS

, 2002
This paper deals with a new Gronwall-like integral inequality which is a generaliza-tion of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
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Hardy inequalities with Bessel pair for Dunkl operator

Advanced Nonlinear Studies
Using the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan, Nguyen Phong Van, Pham Hien Thi Thu   +2 more
doaj   +1 more source

Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions

, 2018
In the present paper, the notion of generalized (r; g, s, m, ϕ)-preinvex function is applied for establish some new generalizations of Ostrowski type in- equalities via fractional integral operators.
LIKO, Rozana, KASHURI, Artion
core   +1 more source

Bullen–Simpson–Mercer type inequalities

Open Mathematics
The main objective of our paper is to establish a new set of Bullen–Simpson type inequalities concerning the Jensen–Mercer's inequality. At first, we derive a new general Bullen–Simpson–Mercer's identity, with which we get out primary consequences ...
Vukelić Ana
doaj   +1 more source