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12-11-2015 | Foundations

On pseudo-fractional integral inequalities related to Hermite–Hadamard type

Authors: Maryam Hosseini, Azizollah Babakhani, Hamzeh Agahi, Sayyed Hashem Rasouli

Published in: Soft Computing | Issue 7/2016

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Abstract

General versions of Hermite–Hadamard type inequality for pseudo-fractional integrals of the order \(\alpha >0\) on a semiring \(\left( \left[ a,b\right] ,\oplus ,\odot \right) \) are studied. These inequalities include both pseudo-integral and fractional integral. The well-known previous results are shown to be special cases of our results. Finally, two open problems for further investigations are given.

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Title: On pseudo-fractional integral inequalities related to Hermite–Hadamard type
Authors: Maryam Hosseini
Azizollah Babakhani
Hamzeh Agahi
Sayyed Hashem Rasouli
Publication date: 12-11-2015
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 7/2016
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-015-1910-3

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