NEW INEQUALITIES OF WIRTINGER TYPE FOR CONVEX AND MN-CONVEX FUNCTIONS

Tatjana Z. Mirkovic

DOI Number
https://doi.org/10.22190/FUMI1902165M
First page
165
Last page
173

Abstract


In this paper, we obtain some inequalities of Wirtinger type by using some classical inequalities and means for convex functions and establish some applications to special means for positive real numbers.


Keywords

Inequalities; inequalities of Wirtinger type; convex functions.

Keywords


Wirtinger-type inequality, convexfunction, MN-convex function

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References


W. Blaschke: Kreis and Kugel, Leipzig, 1916, pp. 105–106.

P. Beesack: Integral inequalities of the Wirtinger type. Duke Math. J. 25, (1958),

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M. Mitrinovi´ c and P. Vasi´ c: An integral inequality ascribed to Wirtinger, and

its variations and generalization. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz (1969), 247–273.

G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen: Generalized convexity and inequalities. J. Math. Anal. Appl. 335, (2007), 1294–1308.




DOI: https://doi.org/10.22190/FUMI1902165M

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