New quantum Hermite–Hadamard-type inequalities for $p$-convex functions involving recently defined quantum integrals

• Date: 2023
• Main Authors: Gulshan, Ghazala, Budak, Hüseyin, Hussain, Rashida, Ali, Muhammad Aamir
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7200
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We develop new Hermite–Hadamard-type integral inequalities for $p$-convex functions in the context of $q$-calculus by using the concept of recently defined $T_{q}$-integrals. Then thе obtained Hermite–Hadamard inequality for $p$-convex functions is used to get new Hermite–Hada...