Results 11 to 20 of about 34,295 (276)

Multiplicative Calculus in Biomedical Image Analysis [PDF]

Journal of Mathematical Imaging and Vision, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Florack, Luc, Assen, Hans C. van
exaly   +5 more sources

A q-analogue of the multiplicative calculus: Q-multiplicative calculus

Discrete & Continuous Dynamical Systems - S, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yener, Gökhan, EMİROĞLU, İbrahim
openaire   +5 more sources

Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

Mathematics
Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan, Abdul Mateen, Muhammad Toseef, Muhammad Aamir Ali   +3 more
doaj   +3 more sources

Multiplicative calculus and its applications

Journal of Mathematical Analysis and Applications, 2008
In this expository article the authors develop the basics of the so called multiplicative calculus, under which the definition of derivatives and integrals is given in terms of the operations of multiplication and division in contrast to addition and subtraction in the usual definitions. Such an approach was suggested in a book of \textit{M.
Kurpinar, Emine Misirli, Bashirov, Agamirza E., Ozyapici, Ali   +2 more
openaire   +4 more sources

Modification of Adomian decomposition technique in multiplicative calculus and application for nonlinear equations

Partial Differential Equations in Applied Mathematics
Multiplicative calculus is a mathematical system that offers an alternative to traditional calculus. Instead of using addition and subtraction to measure change, as in traditional calculus, it uses multiplication and division.
Farooq Ahmed Shah, Muhammad Waseem, Alexey Mikhaylov, Gabor Pinter   +3 more
doaj   +3 more sources

Some Extended Properties and Applications of Multiplicative Time Scale Calculus

Journal of Function Spaces
In this paper, we reconstruct the chain rules defined on the time scale in multiplicative calculus. In addition, we define the multiplicative derivative of the inverse of a function defined on an arbitrary time scale.
Sertac Goktas, Berna Belveren, Yusuf Gurefe, Aslı Öner   +3 more
doaj   +2 more sources

Multiplicative type complex calculus as an alternative to the classical calculus

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Uzer
openaire   +4 more sources

On a Stable Multiplicative Calculus-Based Hybrid Parallel Scheme for Nonlinear Equations

Mathematics
Fractional-order nonlinear equation-solving methods are crucial in engineering, where complex system modeling requires great precision and accuracy. Engineers may design more reliable mechanisms, enhance performance, and develop more accurate predictions
Mudassir Shams
doaj   +3 more sources

Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus

Fractal and Fractional
Motivated by the notion of multiplicative calculus, more precisely multiplicative derivatives, we used the concept of subordination to create a new class of starlike functions.
Kadhavoor R. Karthikeyan, Gangadharan Murugusundaramoorthy   +1 more
doaj   +3 more sources

Modified Backpropagation Algorithm with Multiplicative Calculus in Neural Networks

Elektronika ir Elektrotechnika, 2023
Backpropagation is one of the most widely used algorithms for training feedforward deep neural networks. The algorithm requires a differentiable activation function and it performs computations of the gradient proceeding backwards through the feedforward
Serkan Ozbay
doaj   +1 more source