Results 11 to 20 of about 290 (254)

Chebyshev type inequalities for conformable fractional integrals [PDF]

Miskolc Mathematical Notes, 2019
In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given. Then, by using this identity, we establish new Chebyshev inequalities for the Chebyshev functional via conformable fractional integral.
Set, Erhan, Akdemir, Ahmet Ocak, Mumcu, Ilker, Akdemir, Ahmet Ocak, Belirlenecek, [Set, Erhan; Mumcu, Ilker] Ordu Univ, Dept Math, Fac Sci & Arts, Ordu, Turkey; [Akdemir, Ahmet Ocak] Ibrahim Cecen Univ Agri, Dept Math, Fac Sci & Arts, Agri, Turkey, Akdemir, Ahmet Ocak/Q-2400-2019   +6 more
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A Study on the New Class of Inequalities of Midpoint-Type and Trapezoidal-Type Based on Twice Differentiable Functions with Conformable Operators

Journal of Function Spaces, 2023
This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the obtained identities, we present new trapezoid-type and midpoint-type inequalities via convex functions in the context of the ...
Hasan Kara, Hüseyin Budak, Sina Etemad, Shahram Rezapour, Hijaz Ahmad, Mohammed K. A. Kaabar   +5 more
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Some modifications in conformable fractional integral inequalities [PDF]

Advances in Difference Equations, 2020
AbstractThe prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite–Hadamard integral inequalities via the notion of Ϝ-convexity. After that, we introduce the
Dumitru Băleanu, Pshtiwan Othman Mohammed, Miguel Vivas–Cortez, Yenny Rangel-Oliveros   +3 more
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On the weighted fractional integral inequalities for Chebyshev functionals

Advances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Sami Ullah Khan, Dumitru Baleanu, V. Vijayakumar   +4 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

Axioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
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On generalization conformable fractional integral inequalities

Filomat, 2018
The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Usta, Fuat, Sarıkaya, Mehmet Zeki
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Hermite-Hadamard's inequalities for conformable fractional integrals

An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019
In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier
Mehmet Zeki Sarıkaya, Abdullah Akkurt, Hüseyin Budak, Merve Esra Yıldırım, Hüseyin Yıldırım   +4 more
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Existence and Uniqueness Study of the Conformable Laplace Transform

Journal of Mathematics, 2022
This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis, Bouchenak Ahmed, Mazin AlJazzazi, Rasha Al Hejaj, Hassen Aydi   +4 more
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Some fractional proportional integral inequalities

Journal of Inequalities and Applications, 2019
In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and ...
Gauhar Rahman, Thabet Abdeljawad, Aftab Khan, Kottakkaran Sooppy Nisar   +3 more
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On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
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