Results 1 to 10 of about 51,353 (94)

More General Weighted-Type Fractional Integral Inequalities via Chebyshev Functionals

Fractal and Fractional, 2021
The purpose of this research paper is first to propose the generalized weighted-type fractional integrals. Then, we investigate some novel inequalities for a class of differentiable functions related to Chebyshev’s functionals by utilizing the proposed ...
Gauhar Rahman, Arshad Hussain, Asad Ali, Kottakkaran Sooppy Nisar, Roshan Noor Mohamed   +4 more
doaj   +2 more sources

On a subclass of starlike functions associated with a vertical strip domain [PDF]

Journal of Inequalities and Applications, 2019
In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class ...
Yong Sun, Zhi-Gang Wang, Antti Rasila, Janusz Sokół   +3 more
doaj   +2 more sources

Fractional Hermite–Hadamard, Newton–Milne, and Convexity Involving Arithmetic–Geometric Mean-Type Inequalities in Hilbert and Mixed-Norm Morrey Spaces ℓ_q(·)(M_p(·),v(·)) with Variable Exponents

Fractal and Fractional
Function spaces play a crucial role in the study and application of mathematical inequalities. They provide a structured framework within which inequalities can be formulated, analyzed, and applied.
Waqar Afzal, Mujahid Abbas, Daniel Breaz, Luminiţa-Ioana Cotîrlă   +3 more
doaj   +2 more sources

Hermite–Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions

Fractal and Fractional, 2022
We establish various fractional convex inequalities of the Hermite–Hadamard type with addition to many other inequalities. Various types of such inequalities are obtained, such as (p,h) fractional type inequality and many others, as the (p,h)-convexity ...
Vuk Stojiljković, R. Ramaswamy, F. Alshammari, O. A. Ashour, Mohammed Lahy Hassan Alghazwani, S. Radenović   +5 more
semanticscholar   +1 more source

A Collection of New Trigonometric- and Hyperbolic-FGM-Type Copulas

AppliedMath, 2023
Copula analysis was created to explain the dependence of two or more quantitative variables. Due to the need for in-depth data analysis involving complex variable relationships, there is always a need for new copula models with original features.
Christophe Chesneau
doaj   +1 more source

Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions

Symmetry, 2023
The class of symmetric function interacts extensively with other types of functions. One of these is the class of convex functions, which is closely related to the theory of symmetry.
A. Kashuri, S. Sahoo, P. Mohammed, Eman Al-Sarairah, Y. S. Hamed   +4 more
semanticscholar   +1 more source

Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators

International Journal of Computational Intelligence Systems, 2022
In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are ...
H. Srivastava, S. Sahoo, P. Mohammed, D. Baleanu, B. Kodamasingh   +4 more
semanticscholar   +1 more source

Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities

International Journal of Computational Intelligence Systems, 2021
It is well known that convexity and nonconvexity develop a strong relationship with different types of integral inequalities. Due to the importance of the concept of nonconvexity and integral inequality, in this paper, we present some new classes of ...
Muhammad Bilal Khan, M. Noor, L. Abdullah, Y. Chu   +3 more
semanticscholar   +1 more source

Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions

Journal of Inequalities and Applications, 2020
In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates on these types of new Hermite–Hadamard-type
Yong Zhao, Haiwei Sang, Weicheng Xiong, Z. Cui   +3 more
semanticscholar   +1 more source

Hadamard-Mercer, Dragomir-Agarwal-Mercer, and Pachpatte-Mercer Type Fractional Inclusions for Convex Functions with an Exponential Kernel and Their Applications

Symmetry, 2022
Many scholars have recently become interested in establishing integral inequalities using various known fractional operators. Fractional calculus has grown in popularity as a result of its capacity to quickly solve real-world problems.
S. Sahoo, R. Agarwal, P. Mohammed, B. Kodamasingh, K. Nonlaopon, K. M. Abualnaja   +5 more
semanticscholar   +1 more source