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Multiplicative Calculus in Biomedical Image Analysis [PDF]
Journal of Mathematical Imaging and Vision, 2011 We advocate the use of an alternative calculus in biomedical image analysis, known as multiplicative (a.k.a. non-Newtonian) calculus. It provides a natural framework in problems in which positive images or positive definite matrix fields and positivity ...
Luc Florack +2 more
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Multiplicative type complex calculus as an alternative to the classical calculus
Computers and Mathematics With Applications, 2010 A multiplicative calculus dealing with real valued functions is extended to a multiplicative type complex calculus (MCC) dealing with complex valued functions. Some fundamental theorems and concepts of the classical calculus are interpreted from the view
Ali Uzer
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MathematicsIntegral 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.
Abdul Mateen +2 more
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Multiplicative calculus and its applications
Journal of Mathematical Analysis and Applications, 2008 Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively.
Agamirza E Bashirov, Ali Özyapici
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Efficient Multiplicative Calculus-Based Iterative Scheme for Nonlinear Engineering Applications
MathematicsIt is essential to solve nonlinear equations in engineering, where accuracy and precision are critical. In this paper, a novel family of iterative methods for finding the simple roots of nonlinear equations based on multiplicative calculus is introduced.
Mudassir Shams +2 more
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On a Stable Multiplicative Calculus-Based Hybrid Parallel Scheme for Nonlinear Equations
MathematicsFractional-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, Shams Mudassir
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Kuwait Journal of Science, 2022 We define a Dirac system in multiplicative calculus by some algebraic structures. Asymptotic estimates for eigenfunctions of the multiplicative Dirac system are obtained.
Tuba Gulsen, Emrah Yilmaz, Sertac Goktas
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Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus
Fractal and FractionalMotivated 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 +2 more
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Higher-Order Multiplicative Derivative Iterative Scheme to Solve the Nonlinear Problems
Mathematical and Computational Applications, 2023 Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculus which utilizes the multiplicative and division operator as compared to addition and subtraction.
Gurjeet Singh +2 more
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Analysis of Quantum Multiplicative Calculus and Related Inequalities
MathematicsThis 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 +3 more
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