This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of almost convergence is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as the statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of convergence in density which is also studied as a summability method. Even unbounded sequences can be dealt with by using this method. The book...
This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of almost convergence is ...
This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators.
The...
This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of...
This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015.
This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, M...
This book's dedicated focus on the 'almost' convergence and statistical convergence of double sequences demystifies the concept using a host of revealing examples, highlighting the application of double sequences in key areas of pure and applied mathematics.
This book's dedicated focus on the 'almost' convergence and statistical convergence of double sequences demystifies the concept using a host of reveal...
This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4.
This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. Chapter 1 discus...