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Weighted Integrability and Its Applications in Quantum Calculus

  • Ümit Totur
  • İbrahim ÇanakEmail author
  • Sefa Anıl Sezer
Research Article

Abstract

The weighted method of integrability in quantum calculus is introduced in this paper. Its several properties and the q-analogues of some results in summability theory are developed. Furthermore, some classical type Tauberian theorems for the weighted integrability of infinite q-integrals are established.

Keywords

Tauberian theorems q-weighted integrability q-calculus Jackson integral 

Mathematics Subject Classification

40E05 05A30 26A03 

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Copyright information

© The National Academy of Sciences, India 2018

Authors and Affiliations

  1. 1.AydınTurkey
  2. 2.Department of MathematicsEge UniversityIzmirTurkey
  3. 3.Department of Mathematicsİstanbul Medeniyet UniversityIstanbulTurkey

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