Sharp affine weighted L 2 Sobolev inequalities on the upper half space
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
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Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version [PDF]
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
core
Hardy inequalities with Bessel pair for Dunkl operator
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 +2 more
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© Hindawi Publishing Corp. A MORE GENERALIZED GRONWALL-LIKE INTEGRAL INEQUALITY WITH APPLICATIONS
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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On some new integral inequalities concerning twice differentiable generalized relative semi-(m, h)-preinvex mappings [PDF]
The authors first present some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(m, h)-preinvex mappings.
LIKO, Rozana +2 more
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Bullen–Simpson–Mercer type inequalities
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
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Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
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Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Chu YM +6 more
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Converse Poincaré Type Inequalities for Convex Functions
AMS Classification: Primary 60E15, 60E99. Secondary 26D10.Converse Poincaré type inequalities are obtained within the class of smooth convex functions.
Bobkov, S. G., Houdré, Christian
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Better Approximations for Quasi-Convex Functions [PDF]
In this paper, by using Hölder-İşcan Hölder integral inequality and a general identity for differentiable functions, we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives ...
KADAKAL, Huriye
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