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Related papers: Weighted opial inequalities for widder derivatives

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In this paper, new refinements for integral and sum forms of H\"older inequality are established. We note that many existing inequalities related to the H\"older inequality can be improved via obtained new inequalities in here, we show this…

General Mathematics · Mathematics 2019-01-18 İmdat İşcan

In this paper, we establish new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2013-04-03 M. Z. Sarikaya , E. Set , M. E. Ozdemir , S. S. Dragomir

In this paper, we establish a general weighted Hardy type inequality for the $% p-$Laplace operator with Robin boundary condition. We provide various concrete examples to illustrate our results for different weights. Furthermore, we present…

Analysis of PDEs · Mathematics 2022-08-11 Ismail Kombe , Abdullah Yener

In this paper, we present a generalization of the Huygens types inequalities involving Bessel and modified Bessel functions of the first kind.

Classical Analysis and ODEs · Mathematics 2016-01-07 Khaled Mehrez

In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error…

Classical Analysis and ODEs · Mathematics 2010-05-06 E. Set , M. E. Ozdemir , M. Z. Sarikaya

This paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.

Classical Analysis and ODEs · Mathematics 2011-09-01 B. A. Bhayo , M. Vuorinen

We generalize the Li-Yau inequality for second derivatives and we also establish Li-Yau type inequality for fourth derivatives. Our derivation relies on the representation formula for the heat equation.

Analysis of PDEs · Mathematics 2023-12-29 Li-Chang Hung

Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schr\"odinger operator with a complex-valued potential.

Mathematical Physics · Physics 2007-05-23 Rupert L. Frank , Ari Laptev , Elliott H. Lieb , Robert Seiringer

We obtain generalisations of some inequalities for positive unital linear maps on matrix algebra. This also provides several positive semidefinite matrices and we get some old and new inequalities involving the eigenvalues of a Hermitian…

Functional Analysis · Mathematics 2016-02-16 R. Sharma , P. Devi , R. kumari

In this paper, we improve the famous Reid Inequality related to linear operators. Some monotony results for positive operators are also established with a different approach from what is known in the existing literature. Lastly, Reid and…

Functional Analysis · Mathematics 2017-07-12 Souheyb Dehimi , Mohammed Hichem Mortad

In this paper, we completely characterize the order boundedness of weighted composition operators between different weighted Dirichlet spaces and different derivative Hardy spaces.

Functional Analysis · Mathematics 2019-04-15 Qingze Lin , Junming Liu , Yutian Wu

We prove some isoperimetric type inequalities in warped product manifolds, or more generally, multiply warped product manifolds. We then relate them to inequalities involving the higher order mean-curvature integrals. We also apply our…

Differential Geometry · Mathematics 2017-08-23 Kwok-Kun Kwong

In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.

Complex Variables · Mathematics 2025-04-03 Shijie Bao , Qi'an Guan

Two weight trace inequalities for positive dyadic operators are characterized in terms of discrete Wolff's potentials in the upper triangle case.

Classical Analysis and ODEs · Mathematics 2013-02-19 Hitoshi Tanaka

Inspired by the recent work by R.Pal et al., we give further refined inequalities for a convex Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our approach is different from their one in \cite{PSMA2016}. As…

Classical Analysis and ODEs · Mathematics 2020-04-08 Shigeru Furuichi , Nicuşor Minculete

We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux. Some consequences are also discussed.

Probability · Mathematics 2010-07-26 Patrick Cattiaux , Arnaud Guillin , Liming Wu

In this article, by combining appropriate refined Bohr's inequalities with some techniques concerning bounded analytic functions defined in the unit disk, we generalize and improve several Bohr type inequalities for such functions.

Complex Variables · Mathematics 2020-06-17 Gang Liu , Zhihong Liu , Saminathan Ponnusamy

A generalization of the affine-geometric Wirtinger inequality for curves to hypersurfaces is given.

Differential Geometry · Mathematics 2012-09-28 Mohammad N. Ivaki

In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved.

Classical Analysis and ODEs · Mathematics 2015-12-02 Khaled Mehrez

We revisit weighted Hardy-type inequalities employing an elementary ad hoc approach that yields explicit constants. We also discuss the infinite sequence of power weighted Birman-Hardy-Rellich-type inequalities and derive an operator-valued…

Classical Analysis and ODEs · Mathematics 2019-04-23 Chian Yeong Chuah , Fritz Gesztesy , Lance L. Littlejohn , Tao Mei , Isaac Michael , Michael M. H. Pang