Results 41 to 50 of about 38,693 (157)

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

New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals

Cumhuriyet Science Journal, 2023
In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity.
Ayşe Nur Altunok, Tuba Tunç
doaj   +1 more source

Exact inequalities involving power mean, arithmetic mean and identric mean

Journal of Numerical Analysis and Approximation Theory, 2011
For \(p\in \mathbb{R}\), the power mean \(M_{p}(a,b)\) of order \(p\), identric mean \(I(a,b)\) and arithmetic mean \(A(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by \begin{equation*} M_{p}(a,b)= \begin{cases} \displaystyle\left(\tfrac{a^{p}+b^{p}}{2}\right)^{1/p}, & p\neq 0,\\ \sqrt{ab}, & p=0, \end{cases} \quad I(a,b ...
Yu-ming Chu, Ming-yu Shi, Yue-ping Jiang
openaire   +3 more sources

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

Some Inequalities Involving Weighted Power Mean

Tatra Mountains Mathematical Publications
Abstract In this paper, we first show some inequalities on weighted power mean. When a, b > 0, p ≥ 1and 0 <v ≤ τ< 1, we have
Zuo, Hongliang, Niu, Xinyu
openaire   +2 more sources

HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE

Journal of New Theory, 2016
Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel ...
Badreddine Meftah
doaj  

Some New Classes of Preinvex Functions and Inequalities

Mathematics, 2018
In this article, we introduce some new class of preinvex functions involving two arbitrary auxiliary functions. We derive some new integral inequalities for these classes of preinvex functions. We also discuss some special cases which can be deduced from
Muhammad Aslam Noor, Khalida Inayat Noor, Saima Rashid   +2 more
doaj   +1 more source

Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions

Communications in Advanced Mathematical Sciences
In this paper, we establish new Ostrowski-type inequalities by leveraging the properties of $(\textsf{s, r})$-convex functions and the Atangana-Baleanu fractional integral operator.
Akhtar Abbas, Shubana Bibi, Shahid Mubeen   +2 more
doaj   +1 more source

Fractional Bullen-Type Inequalities for Coordinated Convex Functions

Axioms
In this paper, we present a novel identity for twice partially differentiable mappings. Based on this identity, new fractional Bullen-type inequalities for differentiable functions of two variables, which are convex on the coordinate via Riemann ...
Ohud Bulayhan Almutairi, Wedad Saleh
doaj   +1 more source