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Some generalizations of integral inequalities and their conformable fractional integral versions. (English) Zbl 1520.26009

Summary: The aim of this paper is to present new integral inequalities by using a power \(\beta\) and a weight function satisfying some hypothesis, in particular, in the case of monotone functions. On the other hand, we derive new versions of integral inequalities with conformable fractional calculus for \(\beta=1\).

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26A51 Convexity of real functions in one variable, generalizations
26D15 Inequalities for sums, series and integrals

References:

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[8] T. Abdeljawad, P. O. Mohammed and A. Kashuri, New modified conformable fractional integral inequalities of Hermite-Hadamard type with applications. J. Funct. Spaces 2020, Article ID 4352357, 14 p. · Zbl 1448.26025
[9] F. Ustaa and M. Z. Sarikayaa, On generalization conformable fractional integral inequalities. Filomat 32 (2018), no. 16, 5519-5526. (Received 29.10.2021; accepted 24.01.2022) · Zbl 1499.26195
[10] Bouharket Benaissa 1. Faculty of Material Sciences, University of Tiaret, Algeria. 2. Laboratory of Informatics and Mathematics, University of Tiaret, Algeria. E-mail: bouharket.benaissa@univ-tiaret.dz
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