Applicable Multiplicative Calculus Using Multiplicative Modulus Function

Year 2019, Volume: 2 Issue: 2, 195 - 199, 20.12.2019

Ganesa Moorthy C.

https://doi.org/10.33401/fujma.630045

Abstract

The classical calculus is viewed as additive calculus based on addition in the real line.  Another known multiplicative calculus corresponding to multiplication in the positive real axis has been precisely introduced.  Abstract multiplicative integration through positive measures has been newly introduced.  Results of multiplicative differentiation and integration have been obtained for completion, when some of them have been obtained through multiplicative modulus function. Results have been obtained also for abstract multiplicative measure integration.

Keywords

Differentiation, Positive measure integration, Riemann integration

Supporting Institution

RUSA-Phase 2.0 grant

Project Number

letter No.F 24-51/2014-U, Policy (TN Multi-Gen),

Thanks

Dr. C. Ganesa Moorthy (Professor, Department of Mathematics, Alagappa University, Karaikudi- 630003, INDIA) gratefully acknowledges the joint financial support of RUSA-Phase 2.0 grant sanctioned vide letter No.F 24-51/2014-U, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India, Dt. 09.10.2018, UGC-SAP (DRS-I) vide letter No.F.510/8/DRS-I/2016 (SAP-I) Dt. 23.08.2016 and DST (FIST - level I) 657876570 vide letter No.SR/FIST/MS-I/2018-17 Dt. 20.12.2018.

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