Hadamard transform

Hermite polynomials

Inequality

Ecology

Pure mathematics

Biology

Convex analysis

Applied mathematics

Type (biology)

Young's inequality

Mathematics

Midpoint

Linear inequality

Mathematical analysis

Geometry

Convex optimization

Jensen's inequality

Kantorovich inequality

Algebra over a field

Regular polygon

Convex function

Journal of Computational and Applied Mathematics

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite–Hadamard’s inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of real numbers, some error estimates for the formula midpoint are given. Finally, new inequalities for some special and q-special functions are also pointed out.

New Hermite–Hadamard type integral inequalities for convex functions and their applications