Weighted Hermite–Hadamard–Mercer type inequalities for convex functions
İmdat Işcan
Abstract
Abstract In this paper, first, we prove the weighted Hermite–Hadamard–Mercer inequalities for convex functions, after we establish some new weighted inequalities connected with the right‐sides of weighted Hermite–Hadamard–Mercer type inequalities for differentiable functions whose derivatives in absolute value at certain powers are convex. The results presented here would provide extensions of those given in earlier works.
Topics & Concepts
MathematicsHermite polynomialsHadamard transformDifferentiable functionConvex functionType (biology)SubderivativeInequalityPure mathematicsRegular polygonConvex optimizationMathematical analysisGeometryEcologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomials