ON THE LANCZOS ORTHOGONAL DERIVATIVE

J. D. Bulnes; J. López-Bonilla; R. Rajendra; P. Siva Kota Reddy

doi:https://doi.org/10.56827/SEAJMMS.2023.1903.3

J. D. Bulnes Departamento de Ciencias Exatas e Tecnología, Universidade Federal do Amapa, Rod. Juscelino Kubitschek Jardin Marco Zero, 68903-419, Macapa, AP, BRASI

J. López-Bonilla ESIME-Zacatenco, Instituto Politecnico Nacional Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, MEXICO

R. Rajendra Department of Mathematics, Field Marshal K.M. Cariappa College, Mangalore University, Madikeri-571 201, INDIA

P. Siva Kota Reddy Department of Mathematics, Sri Jayachamarajendra College of Engineering, JSS Science and Technology University, Mysuru-570 006, INDIA

Volume 19, Issue 3 Pages 31-36 December 30, 2023 207 downloads

Article overview

Abstract

We use the Kempf et al. (2014 $\&$ 2015) process of integration by differentiation to obtain the Lanczos generalized derivative, and we give a simple deduction of the Rangarajan–Purushothaman’s formula for the orthogonal derivative for higher orders. Besides, we show that the Lanczos derivative allows deduce an interesting algebraic expression for the first derivative of a function.

Keywords and Phrases

Differentiation by integrationIntegration by differentiationLanczos derivativeLegendre polynomialsOrthogonal derivative.

AMS Subject Classification

26A24, 26A42, 33C45, 65D25.

Reference information

How to Cite

J. D. Bulnes, J. López-Bonilla, R. Rajendra, P. Siva Kota Reddy (2023). ON THE LANCZOS ORTHOGONAL DERIVATIVE. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 31-36.

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