Some inequalities for reciprocally (s,m)-convex in the second sense functions and applications to special means
نویسندگان
چکیده
منابع مشابه
A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE
Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.
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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: Journal of Mathematical Inequalities
سال: 2020
ISSN: 1846-579X
DOI: 10.7153/jmi-2020-14-31