Approximation by Jakimovski-Leviatan-Pǎltǎnea operators involving Sheffer polynomials

M. Mursaleen; A. A. H. AL-Abeid; Khursheed J. Ansari

doi:10.1007/s13398-018-0546-4

journal article May 10, 2018

Approximation by Jakimovski-Leviatan-Pǎltǎnea operators involving Sheffer polynomials

M. Mursaleen A. A. H. AL-Abeid Khursheed J. Ansari

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Vol. 113 No. 2 pp. 1251-1265 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/s13398-018-0546-4

Topics

No keywords indexed for this article. Browse by subject →

References

17

[1]

Jakimovski, A., Leviatan, D.: Generalized Szász operators for the approximation in the infinite interval. Mathematica (Cluj) 11, 97–103 (1969)

[2]

Ciupa, A.: A class of integral Favard-Szász type operators. Stud. Univ. Babes Bolyai Math. 40(1), 39–47 (1995)

[3]

DeVore, R.A., Lorentz, G.G.: Constructive Approximation. Springer, Berlin (1993) 10.1007/978-3-662-02888-9

[4]

Finta, Z., Gupta, V.: Direct and inverse estimates for Phillips type operators. J. Math. Anal. Appl. 303(2), 627–642 (2005) 10.1016/j.jmaa.2004.08.064

[5]

Gavrea, I., Rasa, I.: Remarks on some quantitative Korovkin-type results. Rev. Anal. Numer. Theor. Approx. 22(2), 173–176 (1993)

[6]

Gupta, V.: Rate of convergence by the Bzier variant of Phillips operators for bounded variation functions. Taiwan. J. Math. 8(2), 183–190 (2004) 10.11650/twjm/1500407620

[7]

Ismail, M.E.H.: On a generalization of Szász operators. Mathematica (Cluj) 39, 259–267 (1974)

[8]

Korovkin, P.P.: On convergence of linear positive operators in the space of continuous functions (Russian). Doklady Akad. Nauk. SSSR (NS) 90, 961–964 (1953)

[9]

Mazhar, S.M., Totik, V.: Approximation by modified Szász operators. Acta Sci. Math. 49, 257–269 (1985)

[10]

Mursaleen, M., AL-Abied, A., Ansari, Khursheed J.: Rate of convergence of Chlodowsky type Durrmeyer Jakimovski-Leviatan operators. Tbil. Math. J. 10(2), 173–184 (2017) 10.1515/tmj-2017-0036

[11]

On Chlodowsky variant of Szász operators by Brenke type polynomials

M. Mursaleen, Khursheed J. Ansari

Applied Mathematics and Computation 2015 10.1016/j.amc.2015.08.123

[12]

Mursaleen, M., Ansari, K.J., Nasiruzzaman, M.: Approximation by $$q$$ q -analogue of Jakimovski-Leviatan operators involving $$q$$ q -Appell polynomials. Iran J. Sci. Technol. Trans. A Sci. 41(4), 891–900 (2017)

[13]

Pǎltǎnea, R.: Modified Szász–Mirakjan operators of integral form. Carpath. J. Math. 24(3), 378–385 (2008)

[14]

Phillips, R.S.: An inversion formula for Laplace transforms and semi-groups of linear operators. Ann. Math. 59, 325–356 (1954) 10.2307/1969697

[15]

Generalization of Bernstein's polynomials to the infinite interval

O. Szasz

Journal of Research of the National Bureau of Stan... 10.6028/jres.045.024

[16]

Verma, D.K., Gupta, V.: Approximation for Jakimovski–Leviatan–Pǎltǎnea operators. Ann. Univ. Ferrara 61, 367–380 (2015). https://doi.org/10.1007/s11565-015-0234-7 10.1007/s11565-015-0234-7

[17]

Zhuk, V.V.: Functions of the Lip1 class and S. N. Bernstein’s polynomials, Vestnik Leningrad. Univ. Mat. Mekh. Astronom., 1, 25–30 (1989) (Russian)

Metrics

7

Citations

17

References

Details

Published: May 10, 2018
Vol/Issue: 113(2)
Pages: 1251-1265
License: View

Authors

Department of Mathematics, College of Science King Khalid University Abha Saudi Arabia

Cite This Article

M. Mursaleen, A. A. H. AL-Abeid, Khursheed J. Ansari (2018). Approximation by Jakimovski-Leviatan-Pǎltǎnea operators involving Sheffer polynomials. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(2), 1251-1265. https://doi.org/10.1007/s13398-018-0546-4

Approximation by Jakimovski-Leviatan-Pǎltǎnea operators involving Sheffer polynomials

You May Also Like