Results 111 to 120 of about 27,878 (202)

Low order quadrature for convex functions

Journal of Inequalities and Applications, 2002
In this paper we use our advanced Hadamard Inequality together with Grüss's Inequality to get improved versions of Hadamard's Inequality and some quadrature formulas.
Fink AM
doaj  

Hook Immanantal Inequalities for Hadamard's Function

Linear Algebra and its Applications, 1999
Let \(A=[a_{ij}]\) be a positive semi-definite matrix of order \(n\). The Hadamard function is \(h(A)=\prod_{i=1}^n a_{ii}\). The immanants are a family of matrix functions including the permanent and determinant. Each immanant on matrices of order \(n\) is associated with an irreducible character of the symmetric group \(S_n\) and hence with a ...
Chan, O., Ng, B.-S.
openaire   +1 more source

Hermite-Hadamard Type Inequalities with Applications

Fasciculi Mathematici, 2017
AbstractIn this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″|qis convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures.
Khan, M. Adil, Ali, Tahir, Khan, Tahir Ullah   +2 more
openaire   +2 more sources

Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis

Journal of Mathematics
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez   +3 more
doaj   +1 more source

The Hermite Hadamard Inequality on Hypercuboid

JOURNAL OF ADVANCES IN MATHEMATICS, 2019
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality
openaire   +3 more sources

Adams Inequality on Pinched Hadamard Manifolds

, 2018
The main theorem has been improved in this ...
Bertrand, Jérôme, Sandeep, Kunnath
openaire   +4 more sources

Some Integral Inequalities for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya, samet Erden, Hüseyin Budak   +2 more
doaj   +2 more sources

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

Improvements of the Hermite-Hadamard inequality for the simplex. [PDF]

J Inequal Appl, 2017
Pavić Z.
europepmc   +1 more source

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
doaj   +1 more source