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Some mathematical inequalities among various weighted means are studied. Inequalities on weighted logarithmic mean are given. Besides, the gap in Jensen's inequality is studied as a convex function approach. Consequently, some non-trivial…

Classical Analysis and ODEs · Mathematics 2022-11-08 Shigeru Furuichi , Kenjiro Yanagi , Hamid Reza Moradi

In this paper, the author introduces the concept of the symmetrized p-convex function, gives Hermite-Hadamard type inequalities for symmetrized p-convex functions.

General Mathematics · Mathematics 2019-01-30 İmdat İşcan

Eigenvalues inequalities involving (log) convex/concav functions and Hermitian matrices, positive unital maps are considered. Simple proofs of Bhatia-Kittaneh inequality and Naimark dilation theorem are given.

Operator Algebras · Mathematics 2007-05-23 Jaspal Singh Aujla Jean-Christophe Bourin

This note should clarify how the behavior of certain invariant objects reflects the geometric convexity of balanced domains.

Complex Variables · Mathematics 2010-06-23 Nikolai Nikolov , Peter Pflug

Every diagonalmatrix D yields an endomorphism on the n-dimensional complex vectorspace. If one provides this space with Hoelder norms, we can compute the operator norm of D. We define homogeneous weighted spaces as a generalization of…

Functional Analysis · Mathematics 2011-09-13 Volker Thürey

For convex univalent functions we give instances where the sharp bound for various coefficient functionals are identical to those for the corresponding bound for the inverse function. We give instances where the sharp bounds differ and also…

Complex Variables · Mathematics 2022-12-12 Derek K. Thomas

In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fej\'er type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.

Classical Analysis and ODEs · Mathematics 2017-06-20 Abdullah Akkurt , Hüseyin Yildirim

We give a statement on extension with estimates of convex functions defined on a linear subspace, inspired by similar extension results concerning metrics on positive line bundles

Functional Analysis · Mathematics 2008-06-10 Bo Berndtsson

In this paper, we obtain some Hermite-Hadamard type inequalities for functions whose third derivatives in absolute value are preinvex and prequasiinvex.

Functional Analysis · Mathematics 2013-01-16 M. Emin Ozdemir , Merve Avci Ardic

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, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

Classical Analysis and ODEs · Mathematics 2012-01-25 M. Emin Ozdemir , Havva Kavurmaci , Cetin Yildiz

In this paper, we establish some new inequalities of Hadamard's type for L-Lipschitzian mapping in two variables.

Classical Analysis and ODEs · Mathematics 2011-12-30 M. Z. Sarikaya , H. Yaldiz

We establish Hanner's inequality for arbitrarily many functions in the setting where the Rademacher distribution is replaced with higher dimensional random vectors uniform on Euclidean spheres.

Functional Analysis · Mathematics 2025-01-28 Jonathan Jenkins , Tomasz Tkocz

In this paper, the authors gives a new identity for Hadamard fractional integrals. By using of this identity, the authors obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (alpha?;m)-GA-convex…

Classical Analysis and ODEs · Mathematics 2015-05-14 Mehmet Kunt , Imdat Iscan

We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt…

Classical Analysis and ODEs · Mathematics 2012-05-24 Mevlut Tunc

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

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the…

Functional Analysis · Mathematics 2012-09-13 M. Emin Ozdemir

This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique used in Carlen, Lieb and Loss (Methods and Applications of…

Classical Analysis and ODEs · Mathematics 2019-02-28 Bero Roos

Some inequalities for different types of convexity are established.

Classical Analysis and ODEs · Mathematics 2013-09-27 Merve Avci Ardic

In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are…

Classical Analysis and ODEs · Mathematics 2013-04-23 Mevlut Tunc