Results 61 to 70 of about 1,408 (159)
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.
Sarıkaya, Mehmet Zeki +2 more
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Discussion of some inequalities via fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are not real generalizations.
Mokhtar Kirane, Bessem Samet
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On weighted inequalities for certain fractional integral operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H‐function are also introduced.
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A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications
MathematicsConvexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques.
Moin-ud-Din Junjua +5 more
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Some results on quantum Hahn integral inequalities
Journal of Inequalities and Applications, 2019 In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
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Grüss type inequalities for generalized fractional integrals
AIP Conference Proceedings, 2016 In this study, some Gruss type inequalities for generalized fractional integrals are presented. Also, the results presented here would provide extensions of those given in earlier works.
Erden, Samet +3 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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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 +4 more
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Weddle's Inequality via Katugampola Fractional Integrals
Universal Journal of Mathematics and ApplicationsIntegral inequalities represent an important and ongoing area of study in mathematical understanding. Due to their extensive use in science, fractional calculus approaches have been the subject of a great deal of research recently.
Jamal El-achky
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On New Inequalities via Riemann-Liouville Fractional Integration
Abstract and Applied Analysis, 2012 We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities.
Mehmet Zeki Sarikaya, Hasan Ogunmez
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