F. Mehmood - Department of Mathematics, Samarkand State University, Samarkand 140104, Uzbekistan. - Department of Mathematics, Dawood University of Engineering and Technology, Karachi-74800, Pakistan. F. Nawaz - Department of Mathematics, Dawood University of Engineering and Technology, Karachi-74800, Pakistan. A. Soleev - Department of Mathematics, Samarkand State University, Samarkand 140104, Uzbekistan.
In this article, some generalized inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are \((s,r)\)-convex in mixed kind and applications for probability theory and numerical integration are given. Various established results of different articles would be recaptured as special cases. We also provide special cases of the class of \((s,r)\)-convex function on several choices of \(s,r\).
F. Mehmood, F. Nawaz, A. Soleev, Generalised Hermite-Hadamard type inequalities for \((s,r)\)-convex functions in mixed kind with applications, Journal of Mathematics and Computer Science, 30 (2023), no. 4, 372--380
Mehmood F., Nawaz F., Soleev A., Generalised Hermite-Hadamard type inequalities for \((s,r)\)-convex functions in mixed kind with applications. J Math Comput SCI-JM. (2023); 30(4):372--380
Mehmood, F., Nawaz, F., Soleev, A.. "Generalised Hermite-Hadamard type inequalities for \((s,r)\)-convex functions in mixed kind with applications." Journal of Mathematics and Computer Science, 30, no. 4 (2023): 372--380