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

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

In this paper, using the notions of qκ2-quantum integral and qκ2-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 pr...

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Veröffentlicht in:Mathematics (Basel) 2021-08, Vol.9 (16), p.1992
Hauptverfasser: Siricharuanun, Pimchana, Erden, Samet, Ali, Muhammad Aamir, Budak, Hüseyin, Chasreechai, Saowaluck, Sitthiwirattham, Thanin
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Calculus
Convex analysis
convex functions
Derivatives
Identities
Inequalities
Information theory
Integrals
Newton’s inequalities
quantum calculus
Simpson’s inequalities
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Beschreibung
Zusammenfassung:In this paper, using the notions of qκ2-quantum integral and qκ2-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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9161992