Improved digital image interpolation technique based on multiplicative calculus and Lagrange interpolation

An Efficient Solution of Multiplicative Differential Equations through Laguerre Polynomials

“…A special type of MDE with second order can be explicitly defined as y * * (t)(y * ) p(t) y(t) q(t) = 1 (11) Theorem 5. When we assume y function to be an infinite multiplicative-differentiable function derived at the t 0 neighborhood, y can be expressed in the form of multiplicative power series expansion as…”

“…This has paved the way for the utilization of multiplicative calculus in various aspects of practical life. Example application areas are biomedical image analysis [5], economics [6], time-scale theory [7], chemical engineering [8], processing of real-world signals [9], fractional dynamical systems [10], and digital image interpolation [11]. A recent study developed an analytical model to predict COVID-19 spread by incorporating multiplicative calculus into machine learning [12].…”

A non-Newtonian magnetic curves in multiplicative Riemann manifolds

“…Multiplicative calculus introduces an alternative approach that diverges from the conventional mathematical calculations and provides superior solutions for specific problems. The concepts of multiplicative derivative and integral serve as the foundation of this innovative approach and find applications in various domains, including probability theory, statistics, financial mathematics, physics, engineering and economics [4][5][6][7][8]. Furthermore, research efforts persist across various domains on this subject.…”