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Convergence Rate of Fourier–Legendre Series of Functions of Generalized Bounded Variation

  • R. K. Bera,
  • B. L. Ghodadra

摘要

Abstract

We estimate the convergence rate of Fourier–Legendre series of functions of generalized bounded variation. Our result is similar to a result due to Bojanić and Vuilleumier for the Fourier–Legendre series of functions of bounded variation but applies to a wider class.