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In this paper, we provide some new generalizations of Feng Qi type integral inequalities on time scales by using elementary analytic methods.

Classical Analysis and ODEs · Mathematics 2016-01-05 Li Yin , Valmir Krasniqi

In this note, we present two general classes of integral inequalities motivated by their applications to infinite dimensional systems. The inequalities possess general structures in terms of weight functions and lower quadratic bounds. Many…

Optimization and Control · Mathematics 2019-09-17 Qian Feng , Sing Kiong Nguang

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have…

Classical Analysis and ODEs · Mathematics 2013-04-01 Erhan Set

We prove a two dimensional Holder and reverse-Holder inequality on time scales via the diamond-alpha integral. Other integral inequalities are established as well, which have as corollaries some recent proved Hardy-type inequalities on time…

Classical Analysis and ODEs · Mathematics 2010-03-16 Moulay Rchid Sidi Ammi , Delfim F. M. Torres

This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The Onofri inequality is achieved as a limit case of Sobolev type…

Analysis of PDEs · Mathematics 2014-05-02 Jean Dolbeault , Gaspard Jankowiak

In this paper, the author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive reals…

Classical Analysis and ODEs · Mathematics 2014-05-16 Imdat Iscan

In this article, some Bohr inequalities for analytical functions on the unit disk are generalized to the forms with two parameters. One of our results is sharp.

Complex Variables · Mathematics 2025-08-12 Jianying Zhou , Qihan Wang , Boyong Long

The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.

Classical Analysis and ODEs · Mathematics 2013-07-22 Imdat Iscan

In this paper, we establish some new Ostrowski's type inequalities for m- and (alpha,m)- logarithmically convex functions by using the Riemann-Liouville fractional integrals.

Classical Analysis and ODEs · Mathematics 2012-12-11 Ahmet Ocak Akdemir

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

This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside…

Classical Analysis and ODEs · Mathematics 2016-08-14 Murat Adıvar , Elvan Akın Bohner

Inequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms…

Classical Analysis and ODEs · Mathematics 2022-04-01 Michael Christ

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

This is a continuation of our previous work arXiv:1601.05617 on trace and inverse trace of Steklov eigenvalues. More new inequalities for the trace and inverse trace of Steklov eigenvalues are obtained.

Differential Geometry · Mathematics 2016-09-02 Yongjie Shi , Chengjie Yu

We study certain double--series inequalities, which are motivated by weighted Hardy inequalities.

Classical Analysis and ODEs · Mathematics 2011-12-20 Peng Gao

We discover a new version of the celebrated Montgomery identity via quantum integral operators and establish certain quantum integral inequalities of Ostrowski type by using this identity. Relevant connections of the results obtained in…

General Mathematics · Mathematics 2019-07-09 Mehmet Kunt , Artion Kashuri , Tingsong Du

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

Two time scale stochastic approximation is analyzed when the iterates on either or both time scales do not necessarily converge.

Probability · Mathematics 2024-12-31 Vivek S Borkar

The main objective of this paper is to obtain generalization of some Gruss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.

General Mathematics · Mathematics 2019-10-28 Tariq A. Aljaaidi , Deepak B. Pachpatte

In the paper, by using Lupa\c{s} integral inequality, the authors find some new inequalities for the complete elliptic integrals of the first and second kinds. These results improve some known inequalities.

Classical Analysis and ODEs · Mathematics 2015-01-23 Li Yin , Feng Qi