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Level sets of derivatives. (English) Zbl 0508.26001


MSC:

26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems

Citations:

Zbl 0142.307
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References:

[1] B. Bojarski, Sur la dérivée d’une fonction discontinue, Annales de la Société Polonaise de Mathématique 24 (1953), 190-191.
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[3] A. M. Bruckner and J. L. Leonard, Derivatives, Amer. Math. Monthly 73 (1966), no. 4, 24 – 56. · Zbl 0138.27805 · doi:10.2307/2313749
[4] V. Jarník, O derivaci funkcí jedné proměnné, Rozpravy Československé Akad. Věd Řada Mat. Přírod. Věd 32 (1923), 1-8.
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[10] Solomon Marcus, Sur un problème de Z. Zahorski concernant les points où la dérivée est infinie, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 29 (1960), 176 – 180 (French). · Zbl 0100.28105
[11] Solomon Markus, Points of discontinuity and points at which the derivative is infinite., Rev. Math. Pures Appl. 7 (1962), 309 – 318 (Russian).
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[13] L. Mišík, Über die Klasse \( {M_2}\), Časopis Pěst. Mat. 91 (1966), 389-393.
[14] Ladislav Mišík, Bemerkungen über approximative Ableitung, Mat. Časopis Sloven. Akad. Vied 19 (1969), 283 – 291 (German, with Loose English summary). · Zbl 0191.34503
[15] I. P. Natanson, Teorija funkcij veščestvenuoj peremennoj, ”Nauka”, Moscow, 1950.
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[17] G. Piranian, The derivative of a monotonic discontinuous function, Proc. Amer. Math. Soc. 16 (1965), 243 – 244. · Zbl 0128.27902
[18] David Preiss, Approximate derivatives and Baire classes, Czechoslovak Math. J. 21 (96) (1971), 373 – 382. · Zbl 0221.26007
[19] S. Saks, Theory of the integral, Monografie Matematyczne \( 7\), Warszawa-Lwow, 1937. · Zbl 0017.30004
[20] Z. Zahorski, Über die Konstruktion einer differenzierbaren monotonen, nicht konstanten Funktion mit überall dichter Menge von Konstanzintervalen, C. R. Société de Sciences et Lettres de Varsovie III 30 (1937), 202-206. · Zbl 0019.05601
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