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We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.

Metric Geometry · Mathematics 2019-07-01 Jin-ichi Itoh , Joël Rouyer , Costin Vîlcu

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal

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

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

Classical Analysis and ODEs · Mathematics 2010-03-08 Vilmos Komornik , Paola Loreti

The aim of this article is to give some improvements of Jordan-Steckin and Becker-Stark inequalities discussed in [1].

Classical Analysis and ODEs · Mathematics 2018-02-28 Marija Nenezic , Ling Zhu

In this paper, we derive a new proof on some sharp double integral inequalities of the Hermite-Hadamard type. Our approach is mainly based on well-known Taylor's theorem with the integral remainder.

Functional Analysis · Mathematics 2008-05-06 Vu Nhat Huy , Wenjun Liu , Quoc Anh Ngo

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

We prove a stability version of the Pr\'ekopa-Leindler inequality.

Probability · Mathematics 2014-01-14 Károly J. Böröczky , Keith M. Ball

In this note, we establish new an inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya

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 this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2012-03-21 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

In this paper, new integral inequalities of Hadamard type involving several differentiable \Phi-r-convex functions are given.

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

Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value…

Classical Analysis and ODEs · Mathematics 2022-02-09 Yamilet Quintana , José M. Rodríguez , José M. Sigarreta Almira

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

Classical Analysis and ODEs · Mathematics 2014-12-18 Peng Gao

In this paper, we prove some inequalities for the differences and ratios of the beta function.

Classical Analysis and ODEs · Mathematics 2026-04-27 Jean-Marcel T. Dje , Eyram A. K. Schwinger , Benoit F. Sehba

In this paper, we obtain some new inequalities for functions which are introduced by Godunova and Levin.

Functional Analysis · Mathematics 2013-11-25 M. Emin Ozdemir , Merve Avci

In this paper we establish Parseval type identities and surprising new inequalities for Hilbert-Schmidt frames. Our results generalize and improve the remarkable results which have been obtained by Balan et al. and G{\u{a}}vru{\c{t}}a.

Functional Analysis · Mathematics 2017-03-07 Anirudha Poria

In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.

Classical Analysis and ODEs · Mathematics 2012-05-25 Mevlut Tunc , Huseyin Yildirim

This article offers different proofs of ten inequalities from those already published. So that the readers can see for themselves, the tasks specified in the condition of the source and classical inequalities which used in previously…

General Mathematics · Mathematics 2014-12-18 Adilsultan Lepes

Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits. As a consequence, we deduce a tight double…

Classical Analysis and ODEs · Mathematics 2019-04-23 Robert E. Gaunt