Series inequalities involving convex functions

Imoru, Christopher O.

doi:10.1090/S0002-9947-1974-0349932-2

Series inequalities involving convex functions
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by Christopher O. Imoru PDF

Trans. Amer. Math. Soc. 199 (1974), 241-252 Request permission

Abstract:

The object of this paper is to extend some recent generalizations of Petrović’s inequality by Vasić and others. We shall also use our technique to obtain some results which have interesting applications in the theory of Fourier series as well as the theory of approximations.

References

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Inequalities

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Sur une fonctionnelle

1

On certain inequalities and methods of approximation

51

Petar M. Vasić, Sur une inégalité de M. Petrović, Mat. Vesnik 5(20) (1968), 473–478 (French). MR 243019