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Exponential Approximations On Multiplicative Calculus
Emine Misirli,Ali Ozyapici 장전수학회 2009 Proceedings of the Jangjeon mathematical society Vol.12 No.2
A new kind of calculus, multiplicative calculus, was developed and the de…nition of a new kind of derivative was given within this calculus. Multiplication and division, in this calculus, take the role of summation and di¤erence in the ordinary calculus. Thus, multiplicative calculus is based on multiplicative rate of change, whereas the ordinary calculus is based on additive rate of change. In this manner, many functions can be represented by infinite product, analogous to the infinite sum, based on multiplicative derivative. These generate an idea for getting exponential approximations to functions.