Some new q-integral inequalities using generalized quantum montgomery identity via preinvex functions

Miguel Vivas-Cortez; Artion Kashuri; Rozana Liko; Jorge E.Hernández Hernández

doi:10.3390/SYM12040553

Some new q-integral inequalities using generalized quantum montgomery identity via preinvex functions

Miguel Vivas-Cortez^*, Artion Kashuri, Rozana Liko, Jorge E.Hernández Hernández

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this work the authors establish a new generalized version of Montgomery's identity in the setting of quantum calculus. From this result, some new estimates of Ostrowski type inequalities are given using preinvex functions. Given the generality of preinvex functions, particular q-integral inequalities are established with appropriate choice of the parametric bifunction. Some new special cases from the main results are obtained and some known results are recaptured as well. At the end, a briefly conclusion is given.

Original language	English
Article number	553
Journal	Symmetry
Volume	12
Issue number	4
DOIs	https://doi.org/10.3390/SYM12040553
State	Published - 4 Apr 2020

Bibliographical note

Publisher Copyright:
© 2020 by the authors.

Funding

Funding: This research was funded by Dirección de Investigación from Pontificia Universidad Católica del Ecuador in the research project entitled: Some inequalities using generalized convexity. All authors have read and agreed to the published version of the manuscript. This research was funded by Direcci?n de Investigaci?n from Pontificia Universidad Cat?lica del Ecuador in the research project entitled: Some inequalities using generalized convexity. All authors have read and agreed to the published version of the manuscript. Miguel J. Vivas-Cortez thanks to Direcci?n de Investigaci?n from Pontificia Universidad Cat?lica del Ecuador for the technical support given to the research project entitled: Algunas desigualdades de funciones convexas generalizadas (Some inequalities of generalized convex functions). Jorge E. Hern?ndez Hern?ndez wants to thank to the Consejo de Desarrollo Cient?fico, Human??stico y Tecnol?gico (CDCHT) from Universidad Centroccidental Lisandro Alvarado (Venezuela), also for the technical support given in the development of this article.

Funders	Funder number
CDCHT
Consejo de Desarrollo Cient?fico
Pontificia Universidad Católica del Ecuador
Pontificia Universidad Católica del Ecuador
Universidad Centroccidental Lisandro Alvarado

Keywords

F-convex functions
Integral inequalities
Quantum montgomery identity

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10.3390/SYM12040553

Cite this

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author = "Miguel Vivas-Cortez and Artion Kashuri and Rozana Liko and Hern{\'a}ndez, \{Jorge E.Hern{\'a}ndez\}",

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Some new q-integral inequalities using generalized quantum montgomery identity via preinvex functions

Abstract

Bibliographical note

Funding

Keywords

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