EXPLORING SOME APPROXIMATION PROCESSES IN QUANTUM CALCULUS

Octavian Agratini^†, Mihaela-Diana Lupea^‡

Abstract: The paper is a synthesis on a topic that concerns Approximation Theory. We refer to the construction of some approximation processes using q-Calculus. At first we recall the fundamental elements of q-Calculus and then we focus on the presentation of special discrete-type operators sequences using this theory. The main characteristics of the new constructions are highlighted.

Keywords: positive linear operators, q-Calculus, rate of convergence, approximation process.

MSC: 41A36, 41A25, 26D15.

DOI  10.56082/annalsarscimath.2026.3.167

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^*Accepted for publication on July 29, 2026
^†agratini@ictp.acad.ro, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, 57 Fntnele Street, 400320 Cluj-Napoca, Romania
^‡mihaela.lupea19@gmail.com, Liceul Teoretic Pavel Dan Campia Turzii, 1 Decembrie 1918 Street, no 17, 405100, Campia Turzii, Romania

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 3, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997