Results 101 to 110 of about 179 (161)

Ostrowski Type Inequalities Via ψ − (α, β, γ, δ)−Convex Function

In this paper, we are introducing very first time the class of ψ − (α, β, γ, δ)−convex function in mixed kind, which is the generalization of many classes of convex functions. We would like to state well-known Ostrowski inequality via Montgomery identity
HASSAN, Ali, KHAN, Asif R.
core   +1 more source

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source

New Jensen's bounds for HA-convex mappings with applications to Shannon entropy

Demonstratio Mathematica
The aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions.
Sayyari Yamin, Butt Saad Ihsan, Dehghanian Mehdi, Agarwal Praveen, Nieto Juan J.   +4 more
doaj   +1 more source

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
doaj   +1 more source

Maximal Monotonicity of Dense Type, Local Maximal Monotonicity, and Monotonicity of the Conjugate Are All the Same for Continuous Linear Operators

, 1996
The concept of a monotone operator --- which covers both linear positive semi-definite operators and subdifferentials fo convex functions --- is fundamental in various branches of mathematics.
Heinz H. Bauschke, Jonathan M. Borwein
core  

A Generalization Of Young's l p Inequality

, 1997
. We show that, for positive real numbers with a 1+ P N i ff i , the function r a a Q N i=1 x ff i i has a convex conjugate of the same form and so, in particular, obtain a clean proof that f is convex. AMS (1991) subject classification: Primary
Jonathan M. Borwein
core  

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Open Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet, Meftah Badreddine, Lakhdari Abdelghani, Alqudah Manar A.   +3 more
doaj   +1 more source

Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]

J Inequal Appl, 2018
Matejíčka L.
europepmc   +1 more source

Different types of quantum integral inequalities via ( α , m ) -convexity. [PDF]

J Inequal Appl, 2018
Zhang Y, Du TS, Wang H, Shen YJ.
europepmc   +1 more source

Improved Heinz inequalities via the Jensen functional

Open Mathematics, 2013
Krnić Mario, Pečarić Josip
doaj   +1 more source