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Multiplicative Calculus in Biomedical Image Analysis [PDF]

Journal of Mathematical Imaging and Vision, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luc Florack, Hans van Assen
exaly   +6 more sources

Multiplicative type complex calculus as an alternative to the classical calculus [PDF]

Computers and Mathematics With Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Uzer
exaly   +5 more sources

Multiplicative calculus and its applications [PDF]

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.
Ali Özyapici, Agamirza Bashirov
exaly   +4 more sources

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

Discrete and Continuous Dynamical Systems - Series S, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yener, Gökhan, EMİROĞLU, İbrahim
exaly   +4 more sources

Analysis of Quantum Multiplicative Calculus and Related Inequalities

Mathematics
This article investigates the exact meaning of a quantum derivative result and the corresponding definition of a quantum definite integral in multiplicative calculus from a geometrical viewpoint.
Muhammad Nasim Aftab, Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol   +3 more
doaj   +2 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 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

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

Fractional integral inequalities for strongly convex functions via multiplicative calculus with applications

Boundary Value Problems
In this paper, we introduce the concept of strongly multiplicative convex functions and establish Hermite–Hadamard (HH)-type integral inequalities using the Atangana–Baleanu (AB) fractional integral operator within the framework of multiplicative ...
Saad Ihsan Butt, Dawood Khan, Valer-Daniel Breaz, Luminita-Ioana Cotîrlǎ, Bandar Bin Mohsin   +4 more
doaj   +2 more sources

On the convergence of sequences in ℝ+ through weighted geometric means via multiplicative calculus and application to intuitionistic fuzzy numbers

Journal of Taibah University for Science, 2022
We define weighted geometric mean method of convergence for sequences in [Formula: see text] by using multiplicative calculus and obtain necessary and sufficient conditions under which convergence of sequences in [Formula: see text] follows from ...
Enes Yavuz
doaj   +3 more sources