On Tauberian conditions for (C, 1) summability of integrals

Ümit Totur ^[1] ; Ibrahim Çanak ^[2]
1. [1] Adnan Menderes University
  
  Adnan Menderes University
  
  Turquía
2. [2] Ege University
  
  Ege University
  
  Turquía
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 54, Nº. 2, 2013, págs. 59-65
Idioma: inglés
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Resumen
- We investigate some Tauberian conditions in terms of the general control modulo of the oscillatory behavior of integer order of continuous real functions on [0, ∞) for (C, 1) summability of integrals. Moreover, we obtain a Tauberian theorem for a real bounded function on [0, ∞).