Results 31 to 40 of about 1,624,870 (150)

Some New Properties of Exponential Trigonometric Convex Functions Using up and down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels

Fractal and Fractional, 2023
The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan, Jorge E. Macías-Díaz, Ali Althobaiti, Saad Althobaiti   +3 more
doaj   +1 more source

Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Mathematics, 2022
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon.
Vuk Stojiljković, Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby, Stojan Radenović   +3 more
doaj   +1 more source

Some Certain Fuzzy Fractional Inequalities for Up and Down ℏ-Pre-Invex via Fuzzy-Number Valued Mappings

Fractal and Fractional, 2023
In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals to establish the Hermite–Hadamard-, Fejér-, and Pachpatte-type inequalities.
Muhammad Bilal Khan, Adriana Catas, Najla Aloraini, Mohamed S. Soliman   +3 more
doaj   +1 more source

New Riemann–Liouville Fractional-Order Inclusions for Convex Functions via Interval-Valued Settings Associated with Pseudo-Order Relations

Fractal and Fractional, 2022
In this study, we focus on the newly introduced concept of LR-convex interval-valued functions to establish new variants of the Hermite–Hadamard (H-H) type and Pachpatte type inequalities for Riemann–Liouville fractional integrals.
Hari Mohan Srivastava, Soubhagya Kumar Sahoo, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Yasser S. Hamed   +4 more
doaj   +1 more source

A Generalisation of the Trapezoidal Rule for the Riemann-Stieltjes Integral and Applications [PDF]

, 2000
A generalisation of the trapezoid rule for the Riemann-Stieltjes integral and applications for special means are ...
Boldea, Marius Valentin, Dragomir, Sever S, Braescu, Liliana, Buşe, Constantin   +3 more
core   +3 more sources

Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation

Fractal and Fractional, 2022
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan, Savin Treanțǎ, Hüseyin Budak   +2 more
doaj   +1 more source

Statistical Deferred Weighted Riemann Summability and Fuzzy Approximation Theorems [PDF]

Sahand Communications in Mathematical Analysis
The notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence.
Priyadarsini Parida, Susanta Paikray, Bidu Jena   +2 more
doaj   +1 more source

Approximating the Stieltjes Integral for (φ, ф)-Lipschitzian Integrators and Applications [PDF]

, 2007
Approximations for the Stieltjes integral with (φ, ф)−Lipschitzian integrators are given. Applications for the Riemann integral of a product and for the generalised trapezoid and Ostrowski inequalities are also ...
Dragomir, Sever S
core   +3 more sources

On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty

Advances in Fuzzy Systems, 2016
A class fuzzy fractional differential equation (FFDE) involving Riemann-Liouville H-differentiability of arbitrary order q>1 is considered. Using Krasnoselskii-Krein type conditions, Kooi type conditions, and Rogers conditions we establish the uniqueness
Abdourazek Souahi, Assia Guezane-Lakoud, Amara Hitta   +2 more
doaj   +1 more source

A New Contribution in Fractional Integral Calculus and Inequalities over the Coordinated Fuzzy Codomain

Axioms
The correct derivation of integral inequalities on fuzzy-number-valued mappings depends on applying fractional calculus to fuzzy number analysis. The purpose of this article is to introduce a new class of convex mappings and generalize various previously
Zizhao Zhou, Ahmad Aziz Al Ahmadi, Alina Alb Lupas, Khalil Hadi Hakami   +3 more
doaj   +1 more source