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Sharp inequalitieis of Gruss type for Stieltjes integrals with application in numerical integration are provided.

Classical Analysis and ODEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

In this paper we first extend a generalization of Ostrowski type inequality on time scales for functions whose derivatives are bounded and then unify corresponding continuous and discrete versions. We also point out some particular integral…

General Mathematics · Mathematics 2011-04-05 Wenjun Liu , Quoc Anh Ngo , Wenbin Chen

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 paper, we establish several new inequalities for some twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2012-06-12 Mehmet Zeki Sarikaya , Huseyin Yildirim

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

General Mathematics · Mathematics 2009-08-21 Shaohua Zhang

In this paper, we obtain inequalities for some integrals involving the modified Lommel function of the first kind $t_{\mu,\nu}(x)$. In most cases, these inequalities are tight in certain limits. We also deduce a tight double inequality,…

Classical Analysis and ODEs · Mathematics 2019-12-09 Robert E. Gaunt

In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of…

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

In this paper, we improve and further generalize some Ostrowski-Gr\"uss type inequalities for the fractional integrals by using new Montogomery identities.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Naihan Basak

The aim of this paper is to obtain some generalized weighted Ostrowski inequalities for differentiable mappings. Some well known inequalities can be derived as special cases of the inequalities obtained here. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2014-01-29 Ather Qayyum , Silvestru Sever Dragomir , Muhammad Shoaib

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

We discuss the inequalities for $q$-integrals because of the fact that the inequalities can be very useful in the future mathematical research. Since $q$-integral of a function over an interval $[a,b]$ is defined by the difference of two…

Classical Analysis and ODEs · Mathematics 2007-05-23 Predrag M. Rajkovic , Sladjana D. Marinkovic , Miomir S. Stankovic

We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.

Classical Analysis and ODEs · Mathematics 2015-06-10 Petr Chunaev

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

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

Classical Analysis and ODEs · Mathematics 2013-07-23 İmdat İşcan

In this paper we consider a new kind of inequality related to fractional integration, motivated by Gressman's paper. Based on it we investigate its multilinear analogue inequalities. Combining with the Gressman's work on multilinear…

Functional Analysis · Mathematics 2016-06-17 Ting Chen

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

Delay Gronwall inequality with a weakly singular kernel has been a subject of interest in various mathematical studies. In this article, we will delve into the consideration of this inequality and its application in the study continuity of…

Dynamical Systems · Mathematics 2024-04-18 Javad A. Asadzade , Jasarat J. Gasimov , Nazim I. Mahmudov

We survey connections of the Grothendieck inequality and its variants to combinatorial optimization and computational complexity.

Data Structures and Algorithms · Computer Science 2011-08-12 Subhash Khot , Assaf Naor

The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich…

Functional Analysis · Mathematics 2025-05-14 Tohru Ozawa , Prasun Roychowdhury , Durvudkhan Suragan

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