Results 61 to 70 of about 311,275 (193)

On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented.
Artion Kashuri, Muhammad Talha, Soubhagya Sahoo   +2 more
doaj   +1 more source

On new Simpson’s type ınequalities for trigonometrically convex functions with applications

Cumhuriyet Science Journal, 2020
The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal, Selahattin Maden, Şenol Demir, İmdat İşcan   +3 more
doaj   +1 more source

On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators

Axioms, 2021
Fractional operators are one of the frequently used tools to obtain new generalizations of clasical inequalities in recent years and many new fractional operators are defined in the literature. This development in the field of fractional analysis has led
Erhan Set, Ahmet Ocak Akdemir, Ali Karaoǧlan, Thabet Abdeljawad, Wasfi Shatanawi   +4 more
doaj   +1 more source

Analysis On Simpson's Type Inequalities Through Generalized Convexity with Applications [PDF]

Sahand Communications in Mathematical Analysis
Fractional operators and integral inequalities have become a focal point of research due to their applications in mathematics, physics, engineering, and applied sciences.
Arslan Munir, Artion Kashuri
doaj   +1 more source

Optimal power mean bounds for Yang mean

, 2014
In this paper, we prove that the double inequality Mp(a,b)
Zhen-Hang Yang, Li-Min Wu, Y. Chu
semanticscholar   +1 more source

Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean [PDF]

Journal of Inequalities and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia Wei-Feng, Chu Yu-Ming
openaire   +3 more sources

On the refinements of some important inequalities via ( p , q ) $(p,q)$ -calculus and their applications

Journal of Inequalities and Applications, 2021
We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
doaj   +1 more source

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator

Heliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman, Muhammad Samraiz, Kamal Shah, Thabet Abdeljawad, Yasser Elmasry   +4 more
doaj   +1 more source

On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions

Journal of New Theory, 2021
In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al.
Assia Azaizia, Badreddine Meftah
doaj  

Advancements in Convex Analysis Through Inverse Cosine Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes.
Atika Imran, Muhammad Samraiz, Saima Naheed   +2 more
doaj   +1 more source