Better Approaches for n-Times Differentiable Convex Functions
Praveen Agarwal, Mahir Kadakal, İmdat Işcan, Yu‐Ming Chu
Abstract
In this work, by using an integral identity together with the Hölder–İşcan inequality we establish several new inequalities for n-times differentiable convex and concave mappings. Furthermore, various applications for some special means as arithmetic, geometric, and logarithmic are given.
Topics & Concepts
Differentiable functionMathematicsLogarithmRegular polygonConvex functionInequalityConcave functionConvex analysisIdentity (music)Pure mathematicsMathematical analysisConvex optimizationGeometryPhysicsAcousticsMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsAnalytic and geometric function theory