Research
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Title : | A study on the domain of q-difference operators over Hahn sequence space |
Area of research : | Mathematical Sciences |
Focus area : | Functional Analysis, Difference Equations, Sequence Spaces |
Principal Investigator : | Dr. Taja Yaying, Dera Natung Government College, Arunachal Pradesh |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | tajayaying20[at]gmail[dot]com |
Details
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Executive Summary : | The application of q-theory was initially given by Jackson who identified the q-analogue of derivative and integral operators. Since then q-theory or q-analog attracted the interests of mathematical community resulting into several applications of q-calculus in the area of combinatorics, special functions, algebras, approximation theory, integro-differential equations, fractional calculus, etc. However, the applications of q-calculus have been realized very recently in the field of summability and sequence spaces. In particular, in the field of difference sequence spaces, couple of papers could be traced in the literature that deals with the application of q-theory. In this project, we wish to study the domain of q-difference operators in Hahn sequence spaces and study several interesting properties of the resulting sequence spaces. We further wish to construct some new generalized q-difference operators and study the associated sequence spaces. |
Total Budget (INR): | 6,60,000 |
Organizations involved
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Implementing Agency : | Dera Natung Government College |
Funding Agency : | Anusandhan National Research Foundation/ Science and Engineering Research Board |
Source : | Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 |