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The goal of the present article is to offer a number of new retarded nonlinear inequalities of Gronwall, Bellman and Pachpatte kind for a class of integral and integro-differential equations. These inequalities generalize and provide new…

General Mathematics · Mathematics 2023-10-11 Nagesh Kale

In this paper, we establish several new inequalities for some 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 2013-04-03 A. Saglam , M. Z. Sarikaya , H. Yildirim

We establish two nonlinear retarded integral inequalities. Bounds on the solution of some retarded equations are then obtained.

Classical Analysis and ODEs · Mathematics 2012-11-06 Rui A. C. Ferreira , Delfim F. M. Torres

Some new Gruss type inequalities in inner product spaces and applications for integrals are given.

Analysis of PDEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type. From our results, the classical Ostrowski-Gr\"uss type inequalities can be deduced as some special…

Classical Analysis and ODEs · Mathematics 2012-03-15 Mehmet Zeki Sarikaya , Hatice Yaldiz

In the paper, the authors establish some interesting identities and inequalities involving the extended Weyl type fractional integrals.

Analysis of PDEs · Mathematics 2017-05-17 Praveen Agarwal , Mohamed Jleli , Feng Qi

In this paper, some new integral inequalities on time scales are presented by using elementarily analytic methods in calculus of time scales.

Classical Analysis and ODEs · Mathematics 2013-11-05 Li Yin , Feng Qi

In this paper, we obtain some inequalities by using a kernel and an inequality which is a result of Young inequality. Besides we give some applications to special means.

Classical Analysis and ODEs · Mathematics 2012-12-04 M. Emin Ozdemir , Mustafa Gurbuz , Mevlut Tunc

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

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

Classical Analysis and ODEs · Mathematics 2013-10-04 Merve Avci Ardic

In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.

Classical Analysis and ODEs · Mathematics 2016-04-08 M. W. Alomari , S. Hussain , Z. Liu

The main purpose of the present article is to give some new Hilbert's sum type inequalities, which in special cases yield the classical Hilbert's inequalities. Our results provide some new estimates to these types of inequalities.

General Mathematics · Mathematics 2020-02-20 Chang-Jian Zhao , Wing Sum Cheung

In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.

Classical Analysis and ODEs · Mathematics 2012-02-10 M. Emin Ozdemir , Alper Ekinci , Ahmet Ocak Akdemir

In the present work we give several new integral inequalities of the type Riemann-Liouville fractional integral via Montgomery identities integrals.

Functional Analysis · Mathematics 2012-06-27 Mehmet Zeki Sarikaya , Hatice Yaldiz , Erhan Set

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

In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2012-01-16 Mevlut Tunc , S. Ugur Kirmaci

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

We establish some nonlinear integral inequalities for functions defined on a time scale. The results extend some previous Gronwall and Bihari type inequalities on time scales. Some examples of time scales for which our results can be…

Classical Analysis and ODEs · Mathematics 2009-06-11 Rui A. C. Ferreira , Delfim F. M. Torres

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

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

Probability · Mathematics 2018-07-31 Iosif Pinelis
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