Relative modular uniform approximation by means of the power series method with applications

• Kuldip Raj ^[1] ; Anu Choudhary ^[1]
  1. [1] Shri Mata Vaishno Devi University

     Shri Mata Vaishno Devi University

     India

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 1, 2019, págs. 187-208
• Idioma: inglés
• DOI: 10.33044/revuma.v60n1a11
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We introduce the notion of relative convergence by means of a four dimensional matrix in the sense of the power series method, which includes Abel's as well as Borel's methods, to prove a Korovkin type approximation theorem by using the test functions {1,y,z,y2+z2} and a double sequence of positive linear operators defined on modular spaces. We also endeavor to examine some applications related to this new type of approximation.