16 citations · 33 across the 22 of their papers we have counts for
6 papers · 1 filter
Variable Lebesgue algebra on a Locally Compact group
Parthapratim Saha, Bipan Hazarika
For a locally compact group with a left Haar measure, we study variable Lebesgue algebra with respect to a convolution. We show that if $\mathcal{L}…
On Geometric properties of Henstock-Orlicz spaces
Hemanta Kalita, Salvador Sánchez Perales, Bipan Hazarika
In this paper we extend the theory of Henstock-Orlicz spaces with respect to vector measure. We study the integral representation of operators. Lastly we study Uniformly convexity,…
Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales
Bikash Gogoi, Bipan Hazarika, Utpal Kumar Saha
In this manuscript we investigate the existence and uniqueness of an impulsive fractional dynamic equation on time scales involving non-local initial condition with help of Caputo…
A convergence theorem for Henstock-Kurzweil integral and its relation to topology
Hemanta Kalita, Bipan Hazarika
In this {\color{red}{paper}} we discuss about the Henstock-Kurzweil integrable functions on a topological vector spaces. Basic results of Henstock-Kurzweil integrable fun…
Modular convergence in -Orlicz spaces of Banach valued functions
Hemanta Kalita, Bipan Hazarika
In this article we develop the theory of -Orlicz space generated by generalised Young function. Modular convergence of -Orlicz space for the case of vector-valued functions a…
Weak Henstock-Orlicz space and inclusion properties
Hemanta Kalita, Bipan Hazarika
In this paper we discuss the structure of Henstock-Orlicz space with locally Henstock integrable functions. The weak Henstock-Orlicz spaces on and some basic propert…