2 documents found, page 1 of 1
New quantum integral inequalities for left and right log-ℏ-convex interval-valu...
Cheng, Haiyang; Zhao, Dafang; Zhao, Guohui; Torres, Delfim F. M.We introduce the concept of quantum integration for interval-valued functions and establish new q-Hermite–Hadamard and q-Hermite–Hadamard–Fejér inequalities for left and right log-h -convex interval-valued functions. Our results generalize the known ones in the literature and serve as a foundation for future studies in inequalities for interval-valued functions and interval differential equations. We illustrate...
Quantum Hermite-Hadamard type inequalities for interval-valued functions
Cheng, Haiyang; Zhao, Dafang; Zhao, Guohui; Torres, Delfim F. M.We introduce the concept of quantum integration for interval-valued functions, and establish new q-Hermite-Hadamard and q-Hermite-Hadamard-Fejér inequalities for left and right h-convex interval-valued functions. The findings generalize known results in the literature and serve as a foundation for future studies in inequalities for interval-valued functions and interval differential equations. The results are ill...