Results 11 to 20 of about 1,624,870 (150)

New Hermite–Hadamard Inequalities for Convex Fuzzy-Number-Valued Mappings via Fuzzy Riemann Integrals

Mathematics, 2022
This study uses fuzzy order relations to examine Hermite–Hadamard inequalities (𝐻𝐻-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch–Miranker order relation, which is based on interval space, is used to define this fuzzy order ...
Muhammad Bilal Khan, Gustavo Santos-García, Muhammad Aslam Noor, Mohamed S. Soliman   +3 more
doaj   +4 more sources

Applications of Fuzzy Differential Subordination to the Subclass of Analytic Functions Involving Riemann–Liouville Fractional Integral Operator

Mathematics, 2023
In this research, we combine ideas from geometric function theory and fuzzy set theory. We define a new operator Dτ−λLα,ζm:A→A of analytic functions in the open unit disc Δ with the help of the Riemann–Liouville fractional integral operator, the linear ...
Daniel Breaz, Shahid Khan, Ferdous M. O. Tawfiq, Fairouz Tchier   +3 more
doaj   +4 more sources

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities [PDF]

International Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana, Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Yu-Ming Chu   +4 more
doaj   +4 more sources

Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions

International Journal of Computational Intelligence Systems, 2022
The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan, Hatim Ghazi Zaini, Gustavo Santos-García, Pshtiwan Othman Mohammed, Mohamed S. Soliman   +4 more
doaj   +2 more sources

Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

Mathematics, 2023
We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan, Aleksandr Rakhmangulov, Najla Aloraini, Muhammad Aslam Noor, Mohamed S. Soliman   +4 more
doaj   +2 more sources

On Special Fuzzy Differential Subordinations Obtained for Riemann–Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators

Axioms, 2022
New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known ...
Alina Alb Lupaş
doaj   +3 more sources

The New Versions of Hermite–Hadamard Inequalities for Pre-invex Fuzzy-Interval-Valued Mappings via Fuzzy Riemann Integrals

International Journal of Computational Intelligence Systems, 2022
In this study, we use the fuzzy order relation to show some novel variants of Hermite–Hadamard inequalities for pre-invex fuzzy-interval-valued mappings (F-I∙V-Ms), which we term fuzzy-interval Hermite–Hadamard inequalities and fuzzy-interval Hermite ...
Muhammad Bilal Khan, Muhammad Aslam Noor, Hatim Ghazi Zaini, Gustavo Santos-García, Mohamed S. Soliman   +4 more
doaj   +3 more sources

Hermite–Hadamard-Type Inequalities for h-Godunova–Levin Convex Fuzzy Interval-Valued Functions via Riemann–Liouville Fractional q-Integrals

Fractal and Fractional
In this study, we develop new Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for fuzzy interval-valued functions (FIVFs) that exhibit h-Godunova–Levin convexity, using the framework of the Riemann–Liouville fractional (RLF) q-integral.
Muhammad Waseem Akram, Sajid Iqbal, Asfand Fahad, Yuanheng Wang   +3 more
doaj   +2 more sources

Accurate Approximations of the Riemann-Stieltjes Integral with (1,L) - Lipschitzian Integrators [PDF]

, 2007
Grass-type inequalities for the Riemann-Stieltjes integral with (/,Z)-Lipschitzian integrators and applications for the Cebysev functional are given.
Dragomir, Sever S
core   +7 more sources

A Two Points Taylor's Formula for the Generalised Riemann Integral [PDF]

, 2008
A two points Taylor’s formula for the generalised Riemann integral and various bounds for the remainder are established.
Thompson, H. B, Dragomir, Sever S
core   +6 more sources