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Related papers: Weighted opial inequalities for widder derivatives

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In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $\varphi$-convex.

Functional Analysis · Mathematics 2012-07-10 M. Emin Ozdemir , Merve Avci , A. Ocak Akdemir

In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.

Classical Analysis and ODEs · Mathematics 2011-07-21 M. Emin Ozdemir , Cetin Yildiz , Ahmet Ocak Akdemir

In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

Classical Analysis and ODEs · Mathematics 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

In this paper, we obtain some new results about weakly singular integral inequalities. These inequalities are used to discuss the global existence and uniqueness results for fractional differential equations of Riemann-Liouville type. Some…

Analysis of PDEs · Mathematics 2024-09-06 Zhu Tao

Interpolation inequalities for $C^m$ functions allow to bound derivatives of intermediate order $0 < j<m$ by bounds for the derivatives of order $0$ and $m$. We review various interpolation inequalities for $L^p$-norms ($1 \le p \le…

Functional Analysis · Mathematics 2025-05-14 Armin Rainer , Gerhard Schindl

In the present paper we shall study a variational problem relating the weighted Hardy inequalities with sharp missing terms. As weights we treat non-doubling functions of the distance to the boundary of bounded domain.

Analysis of PDEs · Mathematics 2023-12-13 Hiroshi Ando , Toshio Horiuchi

In this article several types of inequalities for weighted sums of the moduli of Taylor coefficients for Bloch functions are proved

Complex Variables · Mathematics 2019-04-25 I. R. Kayumov , K. -J. Wirths

This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for…

Functional Analysis · Mathematics 2024-04-24 M. Emin Özdemir

In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ . Some well known inequalities can be derived as special cases. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2015-03-31 Ather Qayyum , Ibrahima Faye , Muhammad Shoaib , Muhammad Amer Latif

We obtain some inequalities which are stronger than the Schur majorization inequalities.

Functional Analysis · Mathematics 2022-04-26 Rajendra Bhatia , Rajesh Sharma

A mixed type dual to a nondifferentiable variational problem involving higher order derivative is formulated and duality results are proved under generalized invexity conditions. Special cases are generated from our results.

Optimization and Control · Mathematics 2010-06-07 I Husain , Rumana G. Mattoo

In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator.

Classical Analysis and ODEs · Mathematics 2013-07-02 Erlan Nursultanov , Sergey Tikhonov

The aim of the present paper is to make some notes to the newly introduced conformable derivative as a type local fractional derivative and to present a surprising result about the relation between the conformable derivatives and the usual…

Classical Analysis and ODEs · Mathematics 2019-07-17 Hristo Kiskinov , Milena Petkova , Andrey Zahariev

In this note we consider weighted conditional type operators between different Orlicz spaces and generalized conditional type Holder inequality that we defined in [2]. Then we give some necessary and sufficient conditions for boundedness of…

Functional Analysis · Mathematics 2015-02-12 Yousef Estaremi

In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.

Classical Analysis and ODEs · Mathematics 2013-11-25 Merve Avci Ardic

We establish variation and oscillation inequalities for convolution products of probability measures on Z.

Classical Analysis and ODEs · Mathematics 2011-08-23 Karin Reinhold , Anna Savvopoulou

We obtain $H^{p}_{w} - L^{q}_{w^{q/p}}$ estimates for certain fractional operators.

Classical Analysis and ODEs · Mathematics 2022-01-25 Pablo Rocha

We use different approaches to study a generalization of a result of Levin and Ste\v{c}kin concerning an inequality analogous to Hardy's inequality. Our results lead naturally to the study of weighted remainder form of Hardy-type…

Functional Analysis · Mathematics 2009-07-31 Peng Gao

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2014-05-01 Imdat Iscan , Erhan Set , M. Emin Ozdemir

In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.

Functional Analysis · Mathematics 2011-12-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci
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