VOL. 46 · NO. 1 | 2021
Front Matter
Real Anal. Exchange 46 (1), (2021)
No abstract available
Real Anal. Exchange 46 (1), (2021)
No abstract available
Research Articles
Max Goering
Real Anal. Exchange 46 (1), 1-36, (2021) DOI: 10.14321/realanalexch.46.1.0001
KEYWORDS: rectifiability, Menger curvature, higher codimension, 28A75, 53A07, 28A78
Igor E. Preobrazhenskii, P.G. Demidov
Real Anal. Exchange 46 (1), 37-50, (2021) DOI: 10.14321/realanalexch.46.1.0037
KEYWORDS: Riemann sums, symmetric spaces, modulus of continuity, 46E30, 26A15
Veerapazham Murugan, Rajendran Palanivel
Real Anal. Exchange 46 (1), 51-82, (2021) DOI: 10.14321/realanalexch.46.1.0051
KEYWORDS: non-strictly monotone points, non-isolated non-strictly monotone points, iterative root, Cantor set, uncountable measure zero dense set, 39B12, 26A03, 28A05
Paweł Barbarski
Real Anal. Exchange 46 (1), 83-98, (2021) DOI: 10.14321/realanalexch.46.1.0083
KEYWORDS: ring of functions, ring generated by a function, Darboux function, Continuous function, polynomially bounded function, family of functions separating elements of a partition, Stone-Weierstrass theorem, 26A15, 26A12, 46J10, 46E25
Oswaldo Rio Branco de Oliveira
Real Anal. Exchange 46 (1), 99-106, (2021) DOI: 10.14321/realanalexch.46.1.0099
KEYWORDS: ordinary differential equations, linear equations and systems, exponential matrix, functions of matrices, functional calculus, 15-01, 34-01, 34A30, 15A16, 65F60, 47A60
Liangpan Li
Real Anal. Exchange 46 (1), 107-120, (2021) DOI: 10.14321/realanalexch.46.1.0107
KEYWORDS: differentiable map, critical point, open map, surjective map, polyanalytic function, 26B99, 30G30
Tiago Canarias, Alexei Karlovich, Eugene Shargorodsky
Real Anal. Exchange 46 (1), 121-148, (2021) DOI: 10.14321/realanalexch.46.1.0121
KEYWORDS: multiplication in a Banach algebra, open bilinear mapping, Banach algebra of functions of bounded Wiener $p$-variation, 26A45, 46J10
Donát Nagy
Real Anal. Exchange 46 (1), 149-162, (2021) DOI: 10.14321/realanalexch.46.1.0149
KEYWORDS: Baire category, Hausdorff dimension, Hausdorff metric, Minkowski sum, Minkowski product, 28A78, 28A80, 37F40
Jonathan M. Fraser, Han Yu
Real Anal. Exchange 46 (1), 163-174, (2021) DOI: 10.14321/realanalexch.46.1.0163
KEYWORDS: arithmetic progressions, Erdős conjecture, 11B25, 11B05
Domenico Candeloro, Anna Rita Sambucini, Luca Trastulli
Real Anal. Exchange 46 (1), 175-190, (2021) DOI: 10.14321/realanalexch.46.1.0175
KEYWORDS: Pettis multivalued integral, martingale, Girsanov theorem, 28B05, 28B20, 26E25, 46B20, ‎54C60‎
Steen Pedersen, Joseph P. Sjoberg
Real Anal. Exchange 46 (1), 191-206, (2021) DOI: 10.14321/realanalexch.46.1.0191
KEYWORDS: sequential derivative, non-differentiable function, nowhere-differentiable function, generalized derivative, secant derivative, cord derivative, Weierstrass function, Real function, 26A27, 26A24, 47B25, 26A06
Konrad J. Swanepoel
Real Anal. Exchange 46 (1), 207-232, (2021) DOI: 10.14321/realanalexch.46.1.0207
KEYWORDS: Gołąb’s theorem on semicontinuity, outer linear measure, Steiner trees, Bognár’s theorem, rectifiable continua, 28A75
Immanuel D. Calunod, I. J. L. Garces
Real Anal. Exchange 46 (1), 233-246, (2021) DOI: 10.14321/realanalexch.46.1.0233
KEYWORDS: strong derivative, Riemann integral, primitive of a Riemann integrable function, essentially Riemann integral, essentially continuous function, essentially bounded function, 26A24, 26A42
Narinder Singh, Surinder Pal Singh Kainth
Real Anal. Exchange 46 (1), 247-260, (2021) DOI: 10.14321/realanalexch.46.1.0247
KEYWORDS: Henstock-Kurzweil integral, variational measure, measurable gauges, 26A39, 26A42, 26A45
Ladislav Mišík, János T. Tóth
Real Anal. Exchange 46 (1), 261-268, (2021) DOI: 10.14321/realanalexch.46.1.0261
KEYWORDS: convergent series, Olivier's theorem, admissible ideal, $\mathcal I$-convergence, 40A05, 40A35, 11B05
Back to Top