Differential and fuzzy differential sandwich theorems involving quantum calculus operators

Authors

  • I. R. Silviya School of Advanced Sciences, VIT University, Chennai-600 127, Tamil Nadu, India
  • K. Muthunagai School of Advanced Sciences, VIT University, Chennai-600 127, Tamil Nadu, India

Keywords:

Differential subordination, Differential superordination, q- calculus operators;

Abstract

The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point. The subordination, when spoken in fuzzy set theory, becomes fuzzy subordination as the comparison between two holomorphic functions is made using the fuzzy membership function. In this article, differential and fuzzy differential Subordination, superordination, and sandwich theorems have been discussed for the classes defined by using q-derivative and symmetric q-derivative operators.

Dimensions

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1832

Published

2024-03-06

How to Cite

Differential and fuzzy differential sandwich theorems involving quantum calculus operators. (2024). Journal of the Nigerian Society of Physical Sciences, 6(1), 1832. https://doi.org/10.46481/jnsps.2024.1832

Issue

Volume 6, Issue 1, February 2024

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2023 I. R. Silviya, K. Muthunagai

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Differential and fuzzy differential sandwich theorems involving quantum calculus operators. (2024). Journal of the Nigerian Society of Physical Sciences, 6(1), 1832. https://doi.org/10.46481/jnsps.2024.1832