Related Experiment Video
Updated: Feb 28, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type
Manjari Sidharth1, P N Agrawal1, Serkan Araci2
1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667 India.
Abstract:
The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012). We establish the moments of the operator and a Voronvskaja type asymptotic theorem and then proceed to studying the convergence of the operators with the help of Lipschitz type space and weighted modulus of continuity. Next, we obtain a direct approximation theorem with the aid of unified Ditzian-Totik modulus of smoothness. Furthermore, we study the approximation of functions whose derivatives are locally of bounded variation.
Related Concept Videos
Synthetic Disvision of Polynomials
Real Zeros of Polynomials
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
Long Division of Polynomials
Piecewise-Defined Functions
Divergence and Stokes' Theorems

