11 papers · 1 filter
Jensen-type inequalities on pairs of measure spaces and their applications
Shankhadeep Mondal, P. D. Johnson, R. N. Mohapatra +1
We develop applications of a Jensen-type inequality for pairs of positive measure spaces. The framework yields and operator inequalities for positive integral operators, norm…
The structure of optimal dual frames for probabilistic erasures under Hilbert--Schmidt norm
Shankhadeep Mondal, R. N. Mohapatra, Jen-Chih Yao
Frames provide redundant representations that enable stable signal reconstruction under coefficient losses. In this paper, we study optimal dual frames for probabilistic erasures u…
Inequalities for Pairs of Measure Spaces and Applications
P. D. Johnson, R. N. Mohapatra, Shankhadeep Mondal
We study a family of inequalities on pairs of measure spaces involving functions defined on product domains. Our main result establishes a Jensen-type inequality under a general pr…
Refined upper bounds for the numerical radius via weighted operator means
Shankhadeep Mondal, Ram Narayan Mohapatra, Kasun Tharuka Dewage
We establish a parameterized family of upper bounds for the numerical radius of bounded linear operators on a complex Hilbert space, based on weighted expressions involving the mod…
Designing optimal dual frames for average error optimization
Shankhadeep Mondal, Deguang Han, R. N. Mohapatra
In this paper, we investigates the problem of optimal dual frame selection for signal reconstruction in the presence of erasures. Unlike traditional approaches relying on left inve…
Optimal K dual frames and pairs in the presence of erasures
Shankhadeep Mondal, Deguang Han, R. N. Mohapatra
This paper explores the structure of optimal K-dual frames for a given K-frame and optimal K-dual pairs, within the context of erasures which occur during the transmission of frame…