Marcinkiewicz integral operators constitute a central class of singular integral operators in modern harmonic analysis. These operators, defined through oscillatory integrals with rough kernels, play ...

In previous work the author found solutions to the Toda equations that were expressed in terms of determinants of integral operators. Here it is observed that a simple variant yields solutions to the ...

Harmonic analysis is a broad field central to understanding the representation of functions through basic waves and their associated transformations, with profound connections to Fourier analysis, ...

In this paper, Lupaş Bernstein-Kantorovich operators have been studied using Jackson and Riemann type (p, q)-integrals. It has been shown that (p, q)-integrals as well as Riemann type (p, q)-integrals ...