Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A New Class of Sequences Related to the lp Spaces Defined by Sequences of Orlicz Functions | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011 Article ID 539745 10 pages doi 2011 539745 Research Article A New Class of Sequences Related to the Ip Spaces Defined by SequenCes of Orlicz Functions Naim L. Braha Department of Mathematics and Computer Sciences University of Prishtina Avenue Mother Theresa 5 Prishtine 10000 Kosovo Correspondence should be addressed to Naim L. Braha nbraha@ Received 5 November 2010 Revised 10 February 2011 Accepted 18 February 2011 Academic Editor S. S. Dragomir Copyright 2011 Naim L. Braha. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We introduce new sequence space m M q A defined by combining an Orlicz function seminorms and l-sequences. We study its different properties and obtain some inclusion relation involving the space m M q l . Inclusion relation between statistical convergent sequence spaces and Cesaro statistical convergent sequence spaces is also given. 1. Introduction By w we denote the space of all real or complex valued sequences. If x e w then we simply write x xk instead of x xk w n Also we will use the conventions that e 1 1 . . Any vector subspace of w is called a sequence space. We will write lw c and Co for the sequence spaces of all bounded convergent and null sequences respectively. Further by lp 1 p w we denote the sequence space of all p-absolutely convergent series that is Ip x x e w ff x p w for 1 p w. Throughout the article w X lw X and lp X denote respectively the spaces of all bounded and p-absolutely summable sequences with the elements in X where X q is a seminormed space. By 0 0 0 . we denote the zero element in X. Ps denotes the set of all subsets of N that do not contain more than s elements. With s we will denote a nondecreasing sequence of positive real numbers such that s - 1 s-1
