Vectorial generalized g–fractional direct and iterated approximations by linear operators

• Autorzy: Anastassiou George A.

Identyfikatory

DOI

10.21008/j.0044-4413.2020.0008

• Języki publikacji: EN

Abstrakty

EN

In this work we consider quantitatively with rates the convergence of sequences of linear operators applied on Banach space valued functions. The results are pointwise estimates with rates. To prove our main results we use an elegant and natural boundedness property of our linear operators by their companion positive linear operators. Our inequalities are generalized g-direct and iterated fractional involving the right and left vector Caputo type generalized g-direct and iterated fractional derivatives, built in vector moduli of continuity. We treat wide and general classes of Banach space valued functions. We give applications to vectorial Bernstein operators.

Słowa kluczowe

EN

vector generalized g-direct and iterated fractional derivatives; Bochner integral; Vector generalized g-direct and iterated Fractional Taylor formulae; Vector modulus of continuity; vector linear operators; positive linear operators; quantitative approximations

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2020
• Tom: nr 64
• Strony: 17--42
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Anastassiou George A.

• Department of Mathematical Sciences University of Memphis, Memphis, TN 38152, U.S.A.

Bibliografia

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• [7] Kreuter M., Sobolev Space of Vector-valued functions, Ulm Univ., Master Thesis in Math., Ulm, Germany, 2015.
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• [10] Royden H.L., Real Analysis, 2nd Edition, Macmillan, New York, 1968.