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Some Lipschitz type inequalities for complex functions
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DOI：10.1016/j.amc.2013.12.064.png)
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Abstract
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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. (C) 2013 Elsevier Inc. All rights reserved.
Keywords:
Lipschitz type inequalities
Lebesgue integral inequalities
Quadrature rules
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W