Concerning the Inequality of Hermite-Hadamard Generalized

  • Miguel Vivas-Cortez*
  • , Juan E.Nápoles Valdés
  • , Praveen Agarwal
  • , Jorge Eliecer Hernández
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we present new extensions of the Hermite-Hadamard type generalized inequalities for convex functions, within the framework of a generalized operator integral. Results are general in nature.

Original languageEnglish
Pages (from-to)649-656
Number of pages8
JournalApplied Mathematics and Information Sciences
Volume17
Issue number4
DOIs
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 NSP Natural Sciences Publishing Cor., All Rights Reserved

Funding

This paper and its translation were prepared within the framework of the agreement between the Ministry of Science and High Education of Russia No. 075-15-2021-603: Development of the new m.ethodology and intellectual base for the new-generation research of India Philosophy in correlation of the main World Philosophy Traditions. This paper has been supported also by the RUDN University Strategic Academic Leadership Program. The authors are also thankful to NBHM (DAE)Grant number: 02011/12/2020 NHBM (R.P)/RDII/7867 and Ministry of Science and High Education of the Russian Federation and the People?s Friendship University of Russia, Grant No. 104701-2-000 Cognitive strategies of the main philosophical tradition of Eurasia of the RUDN Strategic AcademicLeadership Program Priority-2030. This paper and its translation were prepared within the framework of the agreement between the Ministry of Science and High Education of Russia No. 075-15-2021-603: Development of the new m. ethodology and intellectual base for the new-generation research of India Philosophy in correlation of the main World Philosophy Traditions. This paper has been supported also by the RUDN University Strategic Academic Leadership Program. The authors are also thankful to NBHM (DAE)Grant number: 02011/12/2020 NHBM (R.P)/RDII/7867 and Ministry of Science and High Education of the Russian Federation and the People?s Friendship University of Russia, Grant No. 104701-2-000 Cognitive strategies of the main philosophical tradition of Eurasia of the RUDN Strategic AcademicLeadership Program Priority-2030.

Funder number
02011/12/2020 NHBM (R.P)/RDII/7867
075-15-2021-603

    Keywords

    • Fractional derivatives and integrals
    • Fractional integral inequalities
    • Generalized convex mapping

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