Harmonic multivariate Ostrowski and Grüss type inequalities for several functions

• Autorzy: Anastassiou, G. A.
• Języki publikacji: EN

Abstrakty

EN

Here we derive very general multivariate Ostrowski and Grüss type inequalities for several functions by involving harmonic polynomials. Estimates are with respect to all basic norms. We give applications.

Słowa kluczowe

PL

nierówność wieloczynnikowa Grüssa; nierówność wieloczynnikowa Ostrowskiego; wielomiany harmoniczne

EN

multivariate Grüss inequality; multivariate Ostrowski inequality; harmonic polynomials

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 1
• Strony: 31--52
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Anastassiou, G. A.

• Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.,

Bibliografia

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• [7] A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv. 10 (1938), 226–227.