Extensions of certain relations of the classical analysis

Authors

  • Gheorghe Halic “Aurel Vlaicu” University of Arad, Romania
  • Eduard Halic “Aurel Vlaicu” University of Arad, Romania

DOI:

https://doi.org/10.33993/jnaat341-792

Keywords:

neutrix calculus, neutralized integrals
Abstract views: 176

Abstract

In this work we deal with certain integrals which are convergent for a set of values of a parameter but which become divergent for other values. We extend some relations involving such integrals, replacing them by neutralized ones.

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References

Corput J.G. Van der, Introduction to the Neutrix Calculus, Journal d'Analyse Mathematique, 7, pp. 281-399, 1959/60,https://doi.org/10.1007/bf02787689 DOI: https://doi.org/10.1007/BF02787689

Corput J.G. Van der, Neutrix Calculus, I, Indagationes Mathematicae, 22, pp.115-123, 1960,https://doi.org/10.1016/s1385-7258(60)50016-3 DOI: https://doi.org/10.1016/S1385-7258(60)50016-3

Halic, G., Local Approximation of Functions and Certain Extensions of Classical Analysis, Section 4: Neutrices, Neutralized Integrals and Their Calculus. Research on Theory of Allure, Approximation, Convexity and Optimization. Edited by E. Popoviciu. Srima, Cluj-Napoca, 1999.

Halic, G. and Halic E., On the Generalized Fourier's Sine and Cosine Transformation, Bulletin for Applied Mathematics, BAM 2002 (to appear).

Halic G., An Application of the Neutralized Integrals, Proceedings of the "Tiberiu Popoviciu" Itinerant Seminar of Functional Equations, Approximation and Convexity, Edited by Elena Popoviciu, SRIMA, Cluj-Napoca, pp. 79-94, 2002.

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Published

2005-02-01

How to Cite

Halic, G., & Halic, E. (2005). Extensions of certain relations of the classical analysis. Rev. Anal. Numér. Théor. Approx., 34(1), 63–69. https://doi.org/10.33993/jnaat341-792

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