Quantum Hermite-Hadamard type inequalities and related inequalities for subadditive functions

Miskolc Mathematical Notes

article

Muhammad Aamir Ali¹  Mehmet Zeki Sarikaya²  Hüseyin Budak²  Zhiyue Zhang¹ 

[1] Nanjing Normal University, Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences;Duzce University, Faculty of Science and Arts, Department of Mathematics

关键词: subadditive functions;    convex functions;    Hermite-Hadamard inequalities;    quantum calculus;   

DOI  :  10.18514/MMN.2023.3769

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this work, Hermite-Hadamard type inequalities for subadditive functions via quantum integrals are established. Moreover, Hermite-Hadamard type inequalities for the product of two subadditive functions are also obtained. It is worth to mentioning that some existing inequalities of Hermite-Hadamard type for subadditive functions are obtained by considering the limit of the real number q∈(0,1) as q→1⁻ in the key results.

【 授权许可】

CC BY