New discrete inequalities of Hermite–Hadamard type for convex functions
Pshtiwan Othman Mohammed, Thabet Abdeljawad, Manar A. Alqudah, Fahd Jarad
Abstract
Abstract We introduce new time scales on $\mathbb{Z}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Z</mml:mi></mml:math> . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality of Hermite–Hadamard type for the discrete convex functions involving the left nabla and right delta fractional sums.
Topics & Concepts
MathematicsHadamard transformConvex functionType (biology)Nabla symbolHermite polynomialsRegular polygonJensen's inequalityOrdinary differential equationPure mathematicsConvex analysisConvex optimizationCombinatoricsMathematical analysisDifferential equationGeometryPhysicsOmegaBiologyQuantum mechanicsEcologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsNonlinear Differential Equations Analysis