Results 61 to 70 of about 1,333 (161)

Generalized fractional integral inequalities of Hermite–Hadamard type for (α,m) ${(\alpha,m)}$-convex functions

Journal of Inequalities and Applications, 2019
In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi, Pshtiwan Othman Mohammed, Jen-Chih Yao, Yong-Hong Yao   +3 more
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Hilbert–Pachpatte type fractional integral inequalities

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications

Mathematics
Convexity 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, Ather Qayyum, Arslan Munir, Hüseyin Budak, Muhammad Mohsen Saleem, Siti Suzlin Supadi   +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, Chayapat Sudprasert, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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Inequalities of trapezoidal type involving generalized fractional integrals

Alexandria Engineering Journal, 2020
During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and ...
Dumitru Baleanu, Pshtiwan Othman Mohammed, Shengda Zeng   +2 more
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Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

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, Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Shin Min Kang   +4 more
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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Mathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj   +1 more source

Weddle's Inequality via Katugampola Fractional Integrals

Universal Journal of Mathematics and Applications
Integral 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
doaj   +1 more source

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
doaj   +1 more source

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, Sarikaya, Mehmet Zeki, Budak, Huseyin   +2 more
openaire   +4 more sources