Some Lipschitz type inequalities for complex functions

In this paper we establish some Lipschitz type inequalities for complex functions when some convexity properties for powers of the absolute value of the derivative are assumed. The case of functions defined by power series is analyzed. Some applications in bounding the Jensen difference for complex...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 230; pp. 516 - 529
Main Author Dragomir, S.S.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2014
Subjects
Computation
Convexity
Derivatives
Inequalities
Lebesgue integral inequalities
Lipschitz type inequalities
Mathematical analysis
Mathematical models
Power series
Quadrature rules
Lipschitz type inequalities
Quadrature rules
Lebesgue integral inequalities
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Summary:In this paper we establish some Lipschitz type inequalities for complex functions when some convexity properties for powers of the absolute value of the derivative are assumed. The case of functions defined by power series is analyzed. Some applications in bounding the Jensen difference for complex functions are also provided.
Bibliography:ObjectType-Article-1
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.12.064