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Fejér-type inequalities. I. (English) Zbl 1204.26045

Summary: We establish some new Fejér-type inequalities for convex functions.

MSC:

26D15 Inequalities for sums, series and integrals

References:

[1] Hadamard J: Étude sur les propriétés des fonctions entières en particulier d’une fonction considérée par Riemann. Journal de Mathématiques Pures et Appliquées 1893, 58: 171-215. · JFM 25.0698.03
[2] Dragomir SS: Two mappings in connection to Hadamard’s inequalities. Journal of Mathematical Analysis and Applications 1992, 167(1):49-56. 10.1016/0022-247X(92)90233-4 · Zbl 0758.26014 · doi:10.1016/0022-247X(92)90233-4
[3] Fejér L: Über die Fourierreihen, II. Math. Naturwiss. Anz Ungar. Akad. Wiss. 1906, 24: 369-390. · JFM 37.0286.01
[4] Hwang D-Y, Tseng K-L, Yang G-S: Some Hadamard’s inequalities for co-ordinated convex functions in a rectangle from the plane. Taiwanese Journal of Mathematics 2007, 11(1):63-73. · Zbl 1132.26360
[5] Pečarić JE, Proschan F, Tong YL: Convex Functions, Partial Orderings, and Statistical Applications, Mathematics in Science and Engineering. Volume 187. Academic Press, Boston, Mass, USA; 1992:xiv+467. · Zbl 0749.26004
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