23 citations · 27 across the 13 of their papers we have counts for
21 papers
Sharp forms and quantitative stability for general weighted discrete -Hardy inequalities
Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we provide a sharp remainder term for the general weighted discrete -Hardy inequality. By choosing appropriate weights and specifying , we are able to…
Sharp remainder formulae for general weighted Hardy and Rellich type inequalities for
Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev
Inspired by the work of Cossetti and D'Arca [CD25], we show that the general weighted -Hardy type inequalities [CD25, Theorems 1.1 and 1.2] and the corresponding identities…
Stability of the -Poincaré inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps
Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we obtain stability results for the -Poincaré inequality for both Lebesgue measure and Gaussian probability measure (Theorem 3.3 and Theorem 3.13) that involv…
Sharp remainder terms and stability of weighted Hardy-Poincaré and Heisenberg-Pauli-Weyl inequalities related to the Baouendi-Grushin operator
Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we obtain sharp remainder terms for the Hardy-Poincaré inequalities with general non-radial weights in the setting of Baouendi-Grushin vector fields (see Theorem 2.5…
Sharp remainder of the -Poincaré inequality for Baouendi-Grushin vector fields
Kuralay Apseit, Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we establish a sharp remainder formula for the Poincaré inequality for Baouendi-Grushin vector fields in the setting of for complex-valued functions. In spec…
A comparison principle for nonlinear parabolic equations with nonlocal source and gradient absorption
Zhaniya Amirzhankyzy, Nurgissa Yessirkegenov
This paper investigates the initial-boundary value problem for a nonlinear parabolic equation involving the -Laplacian operator, nonlocal source terms, gradient absorption, and…