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  1. Journal of Contemporary Mathematical Analysis
  2. Journal of Contemporary Mathematical Analysis : Volume 42
  3. Journal of Contemporary Mathematical Analysis : Volume 42, Issue 2, April 2007
  4. Some new inequalities in geometry and analysis
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Journal of Contemporary Mathematical Analysis : Volume 52
Journal of Contemporary Mathematical Analysis : Volume 51
Journal of Contemporary Mathematical Analysis : Volume 50
Journal of Contemporary Mathematical Analysis : Volume 49
Journal of Contemporary Mathematical Analysis : Volume 48
Journal of Contemporary Mathematical Analysis : Volume 47
Journal of Contemporary Mathematical Analysis : Volume 46
Journal of Contemporary Mathematical Analysis : Volume 45
Journal of Contemporary Mathematical Analysis : Volume 44
Journal of Contemporary Mathematical Analysis : Volume 43
Journal of Contemporary Mathematical Analysis : Volume 42
Journal of Contemporary Mathematical Analysis : Volume 42, Issue 6, December 2007
Journal of Contemporary Mathematical Analysis : Volume 42, Issue 5, October 2007
Journal of Contemporary Mathematical Analysis : Volume 42, Issue 4, August 2007
Journal of Contemporary Mathematical Analysis : Volume 42, Issue 3, June 2007
Journal of Contemporary Mathematical Analysis : Volume 42, Issue 2, April 2007
Some new inequalities in geometry and analysis
Lacunary series and sharp estimates in weighted spaces of holomorphic functions
Kolmogorov diameters of entire functions of given growth
On branching index of algebraic extension spectrum points
Partial indices of triangular matrix functions
Rearranged series by Haar system
Divergence of the greedy algorithm in the Faber-Schauder system on a continuum cardinality set
Journal of Contemporary Mathematical Analysis : Volume 42, Issue 1, February 2007

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Some new inequalities in geometry and analysis

Content Provider Springer Nature Link
Author Barsegian, Grigor A.
Copyright Year 2007
Abstract The paper announces some new inequalities that refer to broken lines, curves and real and complex functions. Their derivation is based on a new principle of angles and lengths for curves. The inequality in the complex analysis, called the principle of derivatives, is valid for analytic functions in arbitrary domains and extends to a broad class of sufficiently smooth complex functions. A new inequality follows for real functions of two variables concerning their level sets. For all cases mentioned above, both for curves and functions, we obtain some analogues of the second fundamental theorem in Nevanlinna theory of meromorphic functions. At the end we discuss a new point-domain inequality dealing with finite point sets in an arbitrary domain.
Starting Page 61
Ending Page 68
Page Count 8
File Format PDF
ISSN 10683623
Journal Journal of Contemporary Mathematical Analysis
Volume Number 42
Issue Number 2
e-ISSN 19349416
Language English
Publisher Allerton Press, Inc.
Publisher Date 2007-01-01
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Point-domain inequality Principle of derivatives Nevanlinna theory Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics Control and Optimization Analysis
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