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A Principle Related to Zeros of Real Functions

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Abstract

In this paper we present a result of a general nature related to arbitrary enough smooth real functions. It is a simple principle (in the spirit of 17th century) which permits to give (for the first time) bounds for the number of zeros of similar functions. It is interesting that there is a version of the principle (for real functions) similar to the classical Nevanlinna deficiency relation (in complex analysis).

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REFERENCES

  1. G. Barsegian, Gamma-Lines: On The Geometry of Real and Complex Functions (Taylor and Francis, London, 2002).

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  2. A. V. Pogorelov, Differential Geometry (Nauka, Moscow, 1974).

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of the Republic of Armenia, Yerevan, Armenia

    G. Barsegian

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  1. G. Barsegian
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Correspondence to G. Barsegian.

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Barsegian, G. A Principle Related to Zeros of Real Functions. J. Contemp. Mathemat. Anal. 56, 113–117 (2021). https://doi.org/10.3103/S1068362321030031

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  • DOI: https://doi.org/10.3103/S1068362321030031

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