Inequalities of Lipschitz Type for Power Series in Banach Algebras

• Autorzy: Sever S. Dragomir
• Języki publikacji: EN

Abstrakty

EN

Let `f(z)=\sum_{n=0}^\infty \alpha_nz^n` be a function defined by power series with complex coefficients and convergent on the open disk `D(0,R)\subset C,R>0`. For any `x, y\in\beta`, a Banach algebra, with `||x|| , ||y|| < R` we show among others that <math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>&

Słowa kluczowe

EN

Mathematics; Differential equations

PL

Matematyka; Równania różniczkowe

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2015
• Tom: 29
• Strony: 61--83

Twórcy

autor

Sever S. Dragomir

• Mathematics, School of Engineering & Science Victoria University

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2015-0006