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Harmonic sums and integral representations

Sofo A.

Journal of Applied Analysis

2010

Vol. 16, nr 2

265-277

In this paper we derive some identities of harmonic number sums with binomial coefficients, we also give integral representations for the sums. We recover some existing identities and introduce a number of new ones.

New Ostrowski and Gruss type inequalities for double integrals

Pachpatte B.

Demonstratio Mathematica

2006

Vol. 39, nr 4

783-791

In the present paper we establish new Ostrowski and Grüss type inequ- alities for double integrals involving three functions and their partial derivatives. The discrete Ostrowski and Grüss type inequalities for double sums are also given.