Results 31 to 40 of about 312,160 (271)
Steffensen's integral inequality for conformable fractional integrals
International Journal of Analysis and Applications, 2017 The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.
Mehmet Zeki Sarikaya +2 more
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On Some Integral Inequalities via Conformable Fractional Integrals [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak +6 more
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Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions
Journal of Function Spaces, 2022 In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon +5 more
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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 +6 more
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Certain Simpson-type inequalities for twice-differentiable functions by conformable fractional integrals [PDF]
, 2023 In this paper, an equality is established by twice-differentiable convex functions with respect to the conformable fractional integrals. Moreover, several Simpson-type inequalities are presented for the case of twice-differentiable convex functions via ...
Hezenci, Fatih, Budak, Hüseyin
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Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals [PDF]
, 2022 The purpose of this work is to establish extended Ostrowski type inequalities involving conformable fractional integrals. We first give an identity for functions whose ??fractional derivatives are bounded.
Bolu, Pınar, Erden, Samet
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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 +5 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 +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 +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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