Indexed Absolute Summability Factor of Improper Integrals

Authors

L. N. Mishra, Vellore Institute of Technology (VIT) University
D. Acharya, National Institute of Science and Technology
S. K. Sahu, National Institute of Science and Technology
P. C. Nayak, Bhadrak Autonomous College
U. K. Misra, National Institute of Science and Technology
S. Pandey, VIT-AP University

Abstract

In this paper, we have defined the summability for improper integrals and established a theorem on indexed absolute Cesaro summability factors of improper integral under sufficient conditions. Some auxiliary results (well known) have also been deduced from the main result under suitable conditions.

Recommended Citation

Mishra, L. N.; Acharya, D.; Sahu, S. K.; Nayak, P. C.; Misra, U. K.; and Pandey, S. (2020). Indexed Absolute Summability Factor of Improper Integrals, Applications and Applied Mathematics: An International Journal (AAM), Vol. 15, Iss. 1, Article 38.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss1/38