Abstract
It is known that if B and
Dedicated to the memory of Tamaz Zerekidze
References
[1]
M. de Guzmán,
Differentiation of Itegrals in
[2] G. Oniani, On the differentiation of integrals with respect to translation invariant convex density bases, Fund. Math. 246 (2019), no. 2, 205–216. 10.4064/fm613-8-2018Search in Google Scholar
[3] G. Oniani and T. Zerekidze, On differential bases formed of intervals, Georgian Math. J. 4 (1997), no. 1, 81–100. 10.1023/A:1022117015291Search in Google Scholar
[4] G. G. Oniani, On the possible values of upper and lower derivatives (in Russian), Mat. Zametki 64 (1998), no. 1, 107–114; translation in Math. Notes 64 (1998), no. 1, 92–97. Search in Google Scholar
[5] G. G. Oniani, On the possible values of upper and lower derivatives with respect to convex differential bases (in Russian), Mat. Zametki 76 (2004), no. 5, 762–775; translation in Math. Notes 76 (2004), no. 5, 702–714. Search in Google Scholar
[6] G. G. Oniani and K. A. Chubinidze, Rotation of coordinate system and differentiation of integrals with respect to translation invariant bases (in Russian), Mat. Sb. 208 (2017), no. 4, 51–72; translation in Sb. Math. 208 (2017), no. 3-4, 510–530. Search in Google Scholar
[7] M. H. Safaryan, On an equivalency of rare differentiation bases of rectangles, Izv. Nats. Akad. Nauk Armenii Mat. 53 (2018), no. 1, 68–73; translation in J. Contemp. Math. Anal. 53 (2018), no. 1, 56–60. Search in Google Scholar
[8] T. Zerekidze, Differentiation of integrals by bases of type II, Proc. A. Razmadze Math. Inst. 133 (2003), 119–130. Search in Google Scholar
[9] T. Zerekidze, The solution of one problem of the theory of differentiation of integrals, Proc. A. Razmadze Math. Inst. 133 (2003), 131–155. Search in Google Scholar
[10]
T. Zerekidze,
Nonequivalence of unilateral strong differentiation bases in
[11] T. Zerekidze, On the equivalence of a strong symmetrical and a strong complete differentiation basis, Georgian Math. J. 18 (2011), no. 1, 191–201. 10.1515/gmj.2011.0002Search in Google Scholar
[12] T. S. Zerekidze, On the question of the interrelation between the strong differentiability of integrals and the convergence of multiple Fourier-Haar series, Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 86 (1987), 62–73. Search in Google Scholar
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On skew derivations and antiautomorphisms in prime rings
- On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them
- Solution of generalized fractional kinetic equations with generalized Mathieu series
- The generalized Drazin inverse of an operator matrix with commuting entries
- Asymptotic analysis of fundamental solutions of hypoelliptic operators
- Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain
- Double lacunary statistical convergence of Δ-measurable functions on product time scales
- On ρ-statistical convergence in neutrosophic normed spaces
- On the comparison of translation invariant convex differentiation bases
- The quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
- Some classes of topological spaces and the space of G-permutation degree
- BV capacity and perimeter in abstract Wiener spaces and applications
- New approach on the study of operator matrix
- Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms
- Localization operators and inversion formulas for the Dunkl–Weinstein–Stockwell transform
Articles in the same Issue
- Frontmatter
- On skew derivations and antiautomorphisms in prime rings
- On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them
- Solution of generalized fractional kinetic equations with generalized Mathieu series
- The generalized Drazin inverse of an operator matrix with commuting entries
- Asymptotic analysis of fundamental solutions of hypoelliptic operators
- Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain
- Double lacunary statistical convergence of Δ-measurable functions on product time scales
- On ρ-statistical convergence in neutrosophic normed spaces
- On the comparison of translation invariant convex differentiation bases
- The quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
- Some classes of topological spaces and the space of G-permutation degree
- BV capacity and perimeter in abstract Wiener spaces and applications
- New approach on the study of operator matrix
- Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms
- Localization operators and inversion formulas for the Dunkl–Weinstein–Stockwell transform