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

[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.

[学科分类] 数学（综合）

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