4.7 Article

Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale

Journal

MATHEMATICS
Volume 7, Issue 10, Pages -

Publisher

MDPI
DOI: 10.3390/math7100956

Keywords

convex functions; Hermite-Hadamard inequality; (Psi(1), Psi(2))-convex functions; Time scale

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Funding

  1. Natural Science Foundation of China [61673169]

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We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions. Applications of these consequences are taken into consideration in special means. Furthermore, illustrative examples are introduced to help our outcomes. Meanwhile, we communicate a few particular cases which may be deduced from our main outcomes.

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