Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus

Pimchana Siricharuanun, Samet Erden, Muhammad Aamir Ali, Hüseyin Budak, Saowaluck Chasreechai and Thanin Sitthiwirattham
Additional contact information
Pimchana Siricharuanun: Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
Samet Erden: Department of Mathematics, Faculty of Science, Bartın University, Bartın 74100, Turkey
Muhammad Aamir Ali: Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
Hüseyin Budak: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey
Saowaluck Chasreechai: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Thanin Sitthiwirattham: Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

Mathematics, 2021, vol. 9, issue 16, 1-18

Abstract: In this paper, using the notions of q ? 2 -quantum integral and q ? 2 -quantum derivative, we present some new identities that enable us to obtain new quantum Simpson’s and quantum Newton’s type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors.

Keywords: Simpson’s inequalities; Newton’s inequalities; quantum calculus; convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/16/1992/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/16/1992/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:16:p:1992-:d:618282

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().