Some Inequalities for N-Times Differentiable s-Convex and tgs-Convex Functions

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holds for all x, y ∈ [,∞), λ ∈ [, ] and for some fixed s ∈ (, ]. The class of s-convex functions in the second sense is usually denoted by K s . It can be easily seen that for s =  s-convexity reduces to ordinary convexity of functions defined on [,∞). It is proved in [] that all functions from K s , s ∈ (, ) are nonnegative. Similarly, a function f : [,∞)→ R is said to be s-concav...

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ژورنال

عنوان ژورنال: Universal Journal of Applied Mathematics

سال: 2020

ISSN: 2331-6446,2331-6470

DOI: 10.13189/ujam.2020.080101