Speaker
Dr
Jervin Zen Lobo
(Department of Mathematics, St. Xavier's College, Mapusa, Goa, India)
Description
This talk is on several versions of the chain rule for the nabla derivative on measure chains. After building the theory required to establish these chain rules, we discuss why the chain rules from the known calculus do not carry on to nabla derivatives. We also attempt to generalize some versions of the chain rules to normed linear spaces. As a consequence of these chain rules, the nabla derivative of the inverse function and the substitution rule in a more general setup of measure chains is proved. To illustrate our results, at every step, we provide examples on time scales.
Author
Dr
Jervin Zen Lobo
(Department of Mathematics, St. Xavier's College, Mapusa, Goa, India)
Co-authors
Ms
Rachel Sarah D'Costa
(School of Physical and Applied Sciences, Goa University, Taleigao Plateau, Goa, India)
Dr
Sanket Tikare
(Department of Mathematics, Ramniranjan Jhunjhunwala College, Mumbai, Maharashtra, India)
Mr
Suraj Krishna Parmekar
(Department of Mathematics, Ganpat Parsekar College of Education, Harmal, Goa, India)
Prof.
Svetlin Georgiev
(Department of Mathematics, Sorbonne University, Paris, France)
