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Related papers: Weighted opial inequalities for widder derivatives

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In this paper we obtain some existence result of solution for general variational inequalities. As applications several coincidence and fixed point results are provided.

Functional Analysis · Mathematics 2014-03-21 Alireza Amini-Harandi , Szilárd László

In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

In this paper we introduce two new generalized variational inequalities, and we give some existence results of the solutions for these variational inequalities involving operators belonging to a recently introduced class of operators. We…

Functional Analysis · Mathematics 2013-11-05 Szilárd László

In this article we study some new pointwise inequalities between rough singular integral operators, weighted maximal functions of the gradient and weighted Morrey spaces. These pointwise estimates will naturally lead us to a new class of…

Functional Analysis · Mathematics 2026-01-16 Diego Chamorro , Anca-Nicoleta Marcoci , Liviu-Gabriel Marcoci

The aim of this work is to improve Wilker inequalities near the origin and {\pi}/2.

Classical Analysis and ODEs · Mathematics 2013-12-24 Cristinel Mortici

We establish the converse of Weyl's eigenvalue inequality for additive Hermitian perturbations of a Hermitian matrix.

Combinatorics · Mathematics 2019-10-08 Yi Wang , Sainan Zheng

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted…

General Mathematics · Mathematics 2023-01-02 Shigeru Furuichi , Nicuşor Minculete , Hamid Reza Moradi

In this paper we establish some companions of perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Some applications to composite quadrature rules, and to probability density functions are also…

Functional Analysis · Mathematics 2012-05-22 Wenjun Liu , Yiting Zhu

In this paper the author analyses the weighted Renyi entropy in order to derive several inequalities in weighted case. Furthermore, using the proposed notions $\alpha$-th generalized derivation and ($\alpha$; p)-th weighted Fisher…

Information Theory · Computer Science 2015-10-16 Salimeh Yasaei Sekeh

In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results are built; the corresponding to the double series…

General Mathematics · Mathematics 2011-10-21 Guang-Sheng Chen

Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we produce discrete fractional Taylor formulae for the first time, and we estimate their…

Classical Analysis and ODEs · Mathematics 2009-11-18 George A. Anastassiou

We establish some weighted $L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process we develop a direct approach to such inequalities based on generalised Wigner distributions, complementing…

Classical Analysis and ODEs · Mathematics 2025-06-12 Jonathan Bennett , Neal Bez , Susana Gutierrez , Shohei Nakamura , Itamar Oliveira

In this paper, we establish new inequalities of Ostrowski type for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates…

Classical Analysis and ODEs · Mathematics 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

Let $ P(z) $ be a polynomial of degree $ n $ and for any real or complex number $\alpha,$ let $D_\alpha P(z)=nP(z)+(\alpha-z)P^{\prime}(z)$ denote the polar derivative with respect to $\alpha.$ In this paper, we obtain generalizations of…

Complex Variables · Mathematics 2013-04-03 N. A. Rather , Suhail Gulzar

In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

We obtain inequalities of H\"{o}lder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of non-negative weights.

Classical Analysis and ODEs · Mathematics 2015-06-10 Petr Chunaev , Ljiljanka Kvesić , Josip Pečarić

In this paper, we obtain new estimates on generalization of Hermite-Hadamard, Simpson and Ostrowski type inequalities for functions whose second derivatives is $\varphi$-convex via fractional integrals.

Classical Analysis and ODEs · Mathematics 2016-07-19 M. Esra Yildirim , Abdullah Akkurt , Hüseyin Yildirim

The aim of this paper is to provide Markov-type inequalities in the setting of weighted Sobolev spaces when the considered weights are generalized classical weights. Also, as results of independent interest, some basic facts about Sobolev…

Classical Analysis and ODEs · Mathematics 2015-01-27 Francisco Marcellán , Yamilet Quintana , José M. Rodríguez

We define a generalized dyadic maximal operator involving the infinite product and discuss weighted inequalities for the operator. A formulation of the Carleson embedding theorem is proved. Our results depend heavily on a generalized…

Classical Analysis and ODEs · Mathematics 2014-04-29 Wei Chen , Ruijuan Chen , Chao Zhang

In this short note, we improve the famous Reid Inequality related to linear operators.

Functional Analysis · Mathematics 2017-04-25 Mohammed Hichem Mortad