On Symmetric Riemann-Derivatives
S. Deb
S. Deb, Student, Department of Mathematics, Visva-Bharati, Santiniketan, Bolpur (West Bengal), India.
Manuscript received on 29 September 2021 | Revised Manuscript received on 09 October 2021 | Manuscript Accepted on 15 October 2021 | Manuscript published on 30 October 2021 | PP: 47-51 | Volume-1 Issue-2, October 2021 | Retrieval Number:100.1/ijam.B1114101221 | DOI: 10.54105/ijam.B1114.101221
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Abstract: The basic properties like monotoni city, Darboux property, mean value property of symmetric Riemann-derivatives of order n of a real valued function f at a point x of its domain (a closed interval) is studied. In some cases, function is considered to be continuous or semi-continuous.
Keywords: Symmetric derivatives, Riemann-derivatives, symmetric Riemann-derivatives. Mathematics Subject Classification (2020): 26E99, 28E99.
Scope of the Article: Calculus and Analysis