Convergence in the Variation Seminorm by Generalized Kantorovich-Type Szász-Mirakyan Operators Constructed via Appell Polynomials

Canbolat G. E., Karsli H., Yeşildal F. T.

Dolomites Research Notes on Approximation, vol.19, no.2, pp.19-28, 2026 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.25430/pupj-drna-2026-2-4
  • Journal Name: Dolomites Research Notes on Approximation
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.19-28
  • Keywords: Appell polynomials, Generalized Szász-Mirakyan operators, Linear positive operators, Rate of convergence Convergence, TV space, Variation detracting property, Variation seminorm
  • Ankara University Affiliated: Yes

Abstract

The aim of this study is to investigate the variation detracting property and convergence in variation of the generalized Kantorovich type Szász-Mirakyan operators constructed via Appell polynomials in the space of functions of bounded variation. These problems are examined with respect to the variation seminorm. Additionally, the rate of convergence is analyzed in terms of total variation.