Journals Information
Universal Journal of Applied Mathematics Vol. 8(1), pp. 1 - 12
DOI: 10.13189/ujam.2020.080101
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Some Inequalities for N-Times Differentiable s-Convex and tgs-Convex Functions
Duygu D枚nmez Demir *, G眉ls眉m 艦anal
Department of Mathematics, Faculty of Art & Sciences, Manisa Celal Bayar University, Turkey
ABSTRACT
The aim of this study is to present some inequalities for n-times differentiable functions. These inequalities are associated with the perturbed trapezoid inequality. n th derivatives of absolute values of the considered functions are s-convex and tgs-convex. In previous studies, some inequalities for the classes of twice differentiable functions which are convex, s-convex and tgs-convex have been introduced. We expand twice differentiable functions to n-times differentiable functions. Finally, some applications are given to verify new inequalities proposed in this study.
KEYWORDS
Convex Function, s-Convex, tgs-Convex, Perturbed Trapezoid Inequalities
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Duygu D枚nmez Demir , G眉ls眉m 艦anal , "Some Inequalities for N-Times Differentiable s-Convex and tgs-Convex Functions," Universal Journal of Applied Mathematics, Vol. 8, No. 1, pp. 1 - 12, 2020. DOI: 10.13189/ujam.2020.080101.
(b). APA Format:
Duygu D枚nmez Demir , G眉ls眉m 艦anal (2020). Some Inequalities for N-Times Differentiable s-Convex and tgs-Convex Functions. Universal Journal of Applied Mathematics, 8(1), 1 - 12. DOI: 10.13189/ujam.2020.080101.