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Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities
Mathematical and Computer Modelling, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki +3 more
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NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS
Fractals, 2020 We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex are obtained.
Sabah Iftikhar, Poom Kumam, Samet Erden
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Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
Journal of Function Spaces, 2021 Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir +3 more
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Weighted norm inequalities for fractional integrals [PDF]
Transactions of the American Mathematical Society, 1974 The principal problem considered is the determination of all nonnegative functions, V ( x ) V(x) , such that ‖ T γ f ( x ) V (
Muckenhoupt, Benjamin +1 more
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Advances in Difference Equations, 2021 Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid +4 more
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(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities
Fractal and Fractional, 2021 The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type.
Tariq A. Aljaaidi +6 more
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The Fractional Integral Inequalities Involving Kober and Saigo–Maeda Operators
Communications in Advanced Mathematical Sciences, 2023 This work uses the Marichev-Saigo-Maeda (MSM) fractional integral operator to achieve certain special fractional integral inequalities for synchronous functions.
Deepak Kumar Jain +4 more
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Generalizations of some Integral Inequalities for Fractional Integrals [PDF]
Annales Mathematicae Silesianae, 2018 Abstract In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
Farid Ghulam, ur Rehman Atiq
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Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions
Journal of Mathematics, 2022 Fractional integral inequalities help to solve many difference equations. In this paper, we present some fractional integral inequalities for generalized harmonic nonconvex functions. Moreover, we also present applications of developed inequalities.
Yeliang Xiao +2 more
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Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
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