Direct Estimates of the Rate of Approximation by the Kantorovich Operator in Variable Exponent Lebesgue Spaces

Author:

Draganov Borislav R.,Gadjev Ivan

Funder

European Union-NextGenerationEU, National Recovery and Resilience Plan of the Republic of Bulgaria

Publisher

Springer Science and Business Media LLC

Reference15 articles.

1. Berens, H., Xu, Y.: On Bernstein–Durrmeyer polynomials with Jacobi weights. In: Chui, C.K. (ed.) Approximation Theory and Functional Analysis (College Station, TX, 1990), pp. 25–46. Academic Press, Boston (1991)

2. Berens, H., Xu, Y.: On Bernstein–Durrmeyer polynomials with Jacobi weights: the cases $$p=1$$ and $$p=\infty $$. In: Baron, S., Leviatan, D. (eds.) Approximation, Interpolation, and Summation, Jerusalem, 1991, Israel Mathematical Conference Proceedings, vol. 4, pp. 51–62. Weizmann Science Press of Israel, Israel (1991)

3. Cruz-Uribe, D.: Variable Lebesgue Spaces: Foundations and Harmonic Analysis. CRM Preprints, Barcelona (2012)

4. Cruz-Uribe, D., Diening, L., Fiorenza, A.: A new proof of the boundedness of maximal operators on variable Lebesgue spaces. Boll. Unione Mat. Ital. (9) 2(1), 151–173 (2009)

5. Cruz-Uribe, D., Fiorenza, A., Neugebauer, C.J.: The maximal function on variable $$L^p$$ spaces. Ann. Acad. Sci. Fenn. Math. 28(1), 223–238 (2003)

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