A New Concept of Multidimensional Variation in the Sense of Riesz and Applications to Integral Operators

Author:

Angeloni LauraORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference45 articles.

1. Angeloni, L.: A characterization of a modulus of smoothness in multidimensional setting. Boll. Unione Mat. Ital. Ser. IX 4(1), 79–108 (2011)

2. Angeloni, L.: Convergence in variation for a homothetic modulus of smoothness in multidimensional setting. Commun. Appl. Nonlinear Anal. 19(1), 1–22 (2012)

3. Angeloni, L.: Approximation results with respect to multidimensional $$\varphi $$ φ -variation for nonlinear integral operators. Z. Anal. Anwend. 32(1), 103–128 (2013)

4. Angeloni, L., Vinti, G.: Convergence and rate of approximation for linear integral operators in $$BV^{\varphi }$$ B V φ -spaces in multidimensional setting. J. Math. Anal. Appl. 349, 317–334 (2009)

5. Angeloni, L., Vinti, G.: A sufficient condition for the convergence of a certain modulus of smoothness in multidimensional setting. Commun. Appl. Nonlinear Anal. 20(1), 1–20 (2013)

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