Open AccessQuantum Hermite-Hadamard and quantum Ostrowski type inequalities for $ s $-convex functions in the second sense with applications
Author(s) -
Suphawat Asawasamrit,
Intelligent,
Muhammad Aamir Ali,
Hüseyın Budak,
Sotiris K. Ntouyas,
Jessada Tariboon
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021771
Subject(s) - hadamard transform , hermite polynomials , mathematics , pure mathematics , type (biology) , convex function , quantum , sense (electronics) , regular polygon , inequality , algebra over a field , mathematical analysis , quantum mechanics , physics , geometry , ecology , electrical engineering , biology , engineering
In this study, we use quantum calculus to prove Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in the second sense. The newly proven results are also shown to be an extension of comparable results in the existing literature. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.