Inclusion theorems associated with a certain new family of asymptotically and statistically equivalent functions
Volume 11, Issue 10, pp 11611170
http://dx.doi.org/10.22436/jnsa.011.10.05
Publication Date: July 15, 2018
Submission Date: August 13, 2017
Revision Date: January 06, 2018
Accteptance Date: January 11, 2018
Authors
H. M. Srivastava
 University of Victoria, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada \(\&\) Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China, Victoria, British Columbia V8W 3R4, Canada.
 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China.
Ekrem Savaş
 department of Mathematics, Istanbul Ticaret (Commerce) University, Sutluce (Beyglu), TR34672 UskudarIstanbul, Turkey.
Richard F. Patterson
 Department of Mathematics and Statistics, University of North Florida, Jacksonville, Florida 32224, U. S. A..
Abstract
The aim of this paper is to introduce and investigate some new
definitions which are interrelated to the notions of asymptotically \(
I_\lambda\)statistical equivalence of multiple \(L\) and strongly
\(I_\lambda\)asymptotic equivalence of multiple \(L\).
Indeed, instead of sequences, the
authors make use of two nonnegative realvalued Lebesgue measurable
functions in the open interval \((1,\infty)\) and present a series of
inclusion theorems associated with these new definitions. Furthermore, in
connection with one of the main results which are proven in this paper, a
closelyrelated \(open\) \(problem\) is posed for the interested reader.
Share and Cite
ISRP Style
H. M. Srivastava, Ekrem Savaş, Richard F. Patterson, Inclusion theorems associated with a certain new family of asymptotically and statistically equivalent functions, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 10, 11611170
AMA Style
Srivastava H. M., Savaş Ekrem, Patterson Richard F., Inclusion theorems associated with a certain new family of asymptotically and statistically equivalent functions. J. Nonlinear Sci. Appl. (2018); 11(10):11611170
Chicago/Turabian Style
Srivastava, H. M., Savaş, Ekrem, Patterson, Richard F.. "Inclusion theorems associated with a certain new family of asymptotically and statistically equivalent functions." Journal of Nonlinear Sciences and Applications, 11, no. 10 (2018): 11611170
Keywords
 Ideals and filters
 \(\mathcal{I}\)statistical convergence
 \(I_{\lambda}\)statistical convergence
 \(\lambda\)statistical convergence
 de la Vallée Poussin method
MSC
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