Interval-valued Iq^b-calculus and applications

[摘要] This study investigates the $\mathcal{I}q^{b}$-differentiability and $\mathcal{I}q^{b}$-integrability for interval-valued functions defined on the $q$-geometric set. We also establish some $\mathcal{I}q^{b}$-Hermite-Hadamard type inequalities. Furthermore, some examples are presented to illustrate our results.

[学科分类] 数学（综合）

[关键词] interval-valued functions;I q b -calculus;Hermite-Hadamard type inequalities