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Hacettepe Journal of Mathematics and StatisticsVolume 52, Issue 3, 30 May 2023, Pages 560-571

Convexity and double-sided Taylor’s approximations(Article)(Open Access)

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  • aDepartment of Mathematics, K.K.M. College Manwath, Dist: Parbhani(M.S.), 43150, India
  • bLMNO, University of Caen-Normandie, Caen, France
  • cFaculty of Technical Scences, University of Novi Sad, Serbia
  • dSchool of Electrical Engineering, University of Belgrade, Serbia

Abstract

Using convexity and double-sided Taylor’s approximations of functions, we establish new general results in this field which can be used to refine and/or sharp some analytic inequalities in the existing literature. © 2023, Hacettepe University. All rights reserved.

Author keywords

Convexitydouble-sided Taylor’s approximationJanous inequalityKober’s inequality

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja200156,451-03-68/2022-14/200103MPNTR
  • 1

    200156 of Ministry of Education, Science and Technological Development, Republic of Serbia. Research of the fourth, fifth and sixth authors was partially supported by the Serbian Ministry of Education, Science and Technological Development, grant 451-03-68/2022-14/200103.

  • ISSN: 2651477X
  • Source Type: Journal
  • Original language: English
  • DOI: 10.15672/hujms.1096357
  • Document Type: Article
  • Publisher: Hacettepe University

  Malešević, B.; School of Electrical Engineering, University of Belgrade, Serbia;
© Copyright 2023 Elsevier B.V., All rights reserved.

Cited by 3 documents

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Fejér-Type Inequalities for Harmonically Convex Functions and Related Results
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Chen, C.-P. , Malešević, B.
Sharp inequalities related to the Adamović-Mitrinović, Cusa, Wilker and Huygens results
(2023) Filomat
View details of all 3 citations
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