%0 Journal Article
%T (<i>f</i>, <i>p</i>)-Asymptotically Lacunary Equivalent Sequences with Respect to the Ideal <i>I</i>
%A Tunay Bilgin
%J Journal of Applied Mathematics and Physics
%P 1207-1217
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.39148
%X In this study, we define (<i>f</i>, <i>p</i>)-Asymptotically Lacunary Equivalent Sequences with respect to the ideal I using a non-trivial ideal <img alt=\"\" src=\"Edit_efcad883-76d5-46aa-9e04-d191270237f2.jpg\" />, a lacunary sequence <img alt=\"\" src=\"Edit_9830eff4-97b2-4e99-b4f8-504e87583d0f.jpg\" />, a strictly positive sequence <img alt=\"\" src=\"Edit_a969b343-18f8-4508-81e7-ad5b7e60717e.jpg\" />, and a modulus function <em>f</em>, and obtain some revel<em>e</em>nt connections between these notions.
%K Asymptotically Equivalence
%K Ideal Convergence
%K Lacunary Sequence
%K Modulus Function
%K Statistically Limit
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=60073