Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications

Volume 1 , Issue 2 , PP: 08-10, 2022 | Cite this article as | XML | Html | PDF

Some Results about Cauchy Improper Integral

Arwa Hajjari 1 *

  • 1 Cairo University, Cairo, Egypt - (Hajjarint8843@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.010201

    Received: January 10, 2022 Accepted: April 15, 2022
    Abstract

    The objective of this paper is to estimate the value of∫_(-1)^1f(x)/(x-t)^m  dx ;mN where f is convex from above and ∫_0^δw(f^((m-1) ),x)/x dx<∞; fis bounded in C^((m-1) ) [-1,1].

    Keywords :

    Improper Integral , Cauchy Principal value , Convex function

    References

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    [2] KORNEUSHYK .N.B .EXat constant in approximation Theory.Nauka.Mosscow .p424 (in Russian)-1987.

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    [6] Diethelm,K., Gaussian quadrature formulas of the third kind for Cauchy principal value integrals :basic

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    Cite This Article As :
    Arwa Hajjari. "Some Results about Cauchy Improper Integral." Full Length Article, Vol. 1, No. 2, 2022 ,PP. 08-10 (Doi   :  https://doi.org/10.54216/GJMSA.010201)
    Arwa Hajjari. (2022). Some Results about Cauchy Improper Integral. Journal of , 1 ( 2 ), 08-10 (Doi   :  https://doi.org/10.54216/GJMSA.010201)
    Arwa Hajjari. "Some Results about Cauchy Improper Integral." Journal of , 1 no. 2 (2022): 08-10 (Doi   :  https://doi.org/10.54216/GJMSA.010201)
    Arwa Hajjari. (2022). Some Results about Cauchy Improper Integral. Journal of , 1 ( 2 ), 08-10 (Doi   :  https://doi.org/10.54216/GJMSA.010201)
    Arwa Hajjari. Some Results about Cauchy Improper Integral. Journal of , (2022); 1 ( 2 ): 08-10 (Doi   :  https://doi.org/10.54216/GJMSA.010201)
    Arwa Hajjari, Some Results about Cauchy Improper Integral, Journal of , Vol. 1 , No. 2 , (2022) : 08-10 (Doi   :  https://doi.org/10.54216/GJMSA.010201)