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A note on strong matrix summability via ideals
Authors:Ekrem Savas
Affiliation:
  • a Istanbul Ticaret University, Department of Mathematics, Üsküdar-Istanbul, Turkey
  • b Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India
  • Abstract:Following the line of recent works of Das et al. (2011) [15] and Savas and Das (2011) [19] we apply the notion of ideals to strong matrix summability, and in this note, we introduce the notion of strong AI-summability with respect to an Orlicz function. We make certain investigations on the classes of sequences arising out of this new summability method.
    Keywords:Ideal   Filter     mmlsi2"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0893965911005003&  _mathId=si2.gif&  _pii=S0893965911005003&  _issn=08939659&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=1b76d069a65656c45aa73b03980efd66')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >AI-statistical convergence   Strong   mmlsi3"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0893965911005003&  _mathId=si3.gif&  _pii=S0893965911005003&  _issn=08939659&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=601eb2177bc2e4e28ed97a4fae8df808')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >AI-summability   Orlicz function
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