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De la Vallée Poussin, C.J. (1908) Sur la convergence des formules d’interpolation entre ordennées equidistantes. [On the Convergence of Interpolation Formulas between Equidistant Orders]. Bulletin de la Classe des Sciences, Academie Royale de Belgique, 314-410.

has been cited by the following article:

• TITLE: Functions of Bounded (p(⋅), 2)-Variation in De la Vallée Poussin-Wiener’s Sense with Variable Exponent

  AUTHORS: Odalis Mejía, Pilar Silvestre, María Valera-López

  KEYWORDS: Generalized Variation, De la Vallée Poussin, (p(⋅), 2)-Variation in Wiener’s Sense, Variable Exponent, Composition Operator, Matkowski’s Condition

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.9, September 28, 2017

  ABSTRACT: In this paper we establish the notion of the space of bounded (p(⋅), 2)variation in De la Vallée Poussin-Wiener’s sense with variable exponent. We show some properties of this space and we show that any uniformly bounded composition operator that maps this space into itself necessarily satisfies the so-called Matkowski’s conditions.