Hermite-Hadamard's Type Inequalities on a Ball
Some trapezoid and mid-point type inequalities related to the Hermite-Hadamard inequality for the mappings defined on a ball in the space are obtained.
math.GM↗
arXiv subjects
M. Rostamian Delavar
Publications and source records attributed to M. Rostamian Delavar.
Hermite-Hadamard's Mid-Point Type Inequalities for Generalized Fractional Integrals
Some Hermite-Hadamard's mid-point type inequalities related to Katugampola fractional integrals are obtained where the first derivative of considered mappings is Lipschitzian or convex. Also some mid-point type inequalities are given for Lipschitzian mappings, with the aim of generalizing the results presented in previous works. Finally as an application, some generalized inequalities in connection with special means are provided.
math.GM↗
Trapezoidal type inequalities related to h-convex functions with applications
A mapping M(t) is considered to obtain some preliminary results and a new trapezoidal form of Fejer inequality related to the h-convex functions. Furthermore the obtained results are applied to achieve some new inequalities in connection with special means, random variable and trapezoidal formula.
math.FA↗
A refinement of Hardy Inequality via superquadratic function
A refinement of the Hardy inequality has been presented by use of superquadratic function.
math.FA↗