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Subjects
26-XX Real functions
26Axx Functions of one variable
26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems

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Displaying 1 – 20 of 53

O hmotě trojosého ellipsoidu

Karel Zahradník (1879)

Časopis pro pěstování mathematiky a fysiky

Obecná teorie derivování funkcí a měr na katedře matematické analýzy MFF UK

Luděk Zajíček (2000)

Pokroky matematiky, fyziky a astronomie

On a certain condition of the monotonicity of functions

Maria Mastalerz-Wawrzyńczak (1977)

Fundamenta Mathematicae

On a Functional Equation in Connection with Derivations.

Walter Benz (1983)

Mathematische Zeitschrift

On a functional equation related to a generalization of Flett's mean value theorem.

Riedel, T., Sablik, Maciej (2000)

International Journal of Mathematics and Mathematical Sciences

On a functional inequality of Kemperman

S. L. Segal (1976)

Colloquium Mathematicae

On Algebraic Curves over Real Closed Fields. II.

Manfred Knebusch (1976)

Mathematische Zeitschrift

On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions

Luděk Zajíček (1981)

Commentationes Mathematicae Universitatis Carolinae

On approximate symmetric derivative

N. K. Kundu (1973)

Colloquium Mathematicae

On cluster sets of arbitrary functions

L. Zajíček (1974)

Fundamenta Mathematicae

On continuous functions and the approximate symmetric derivatives

Michael J. Evans (1974)

Colloquium Mathematicae

On derivations on certain function spaces and their relation to the differential operator. (Über Derivationen auf gewissen Funktionenräumen und deren Beziehung zum Differentiationsoperator.)

Powa̧zka, Zbigniew, Rose, Michael (1994)

Mathematica Pannonica

On derivatives of functions defined on disconnected sets, I

A. van Rooij, W. Schikhof (1988)

Fundamenta Mathematicae

On derivatives of functions defined on disconnected sets, II

A. van Rooij (1988)

Fundamenta Mathematicae

On Dini Derivatives and on a Property of Denjoy.

N.C. Manna (1970)

Monatshefte für Mathematik

On Dini derivatives and on certain classes of Zahorski

S. N. Mukhopadhyay (1972)

Colloquium Mathematicae

On extending $C^{k}$ functions from an open set to $ℝ$ with applications

Walter D. Burgess, Robert M. Raphael (2023)

Czechoslovak Mathematical Journal

For $k \in ℕ \cup {\infty}$ and $U$ open in $ℝ$ , let $C^{k} (U)$ be the ring of real valued functions on $U$ with the first $k$ derivatives continuous. It is shown that for $f \in C^{k} (U)$ there is $g \in C^{\infty} (ℝ)$ with $U \subseteq coz g$ and $h \in C^{k} (ℝ)$ with ${f g |}_{U} {= h |}_{U}$ . The function $f$ and its $k$ derivatives are not assumed to be bounded on $U$ . The function $g$ is constructed using splines based on the Mollifier function. Some consequences about the ring $C^{k} (ℝ)$ are deduced from this, in particular that $Q_{cl} (C^{k} (ℝ)) = Q (C^{k} (ℝ))$ .

On extreme first return path derivatives

Aliasghar Alikhani-Koopaei (2002)

Mathematica Slovaca

On functions of bounded n-th variation

S. Mukhopadhyay, D. Sain (1988)

Fundamenta Mathematicae

On generalized Peano and Peano derivatives

H. Fejzić (1993)

Fundamenta Mathematicae

A function F is said to have a generalized Peano derivative at x if F is continuous in a neighborhood of x and if there exists a positive integer q such that a qth primitive of F in the neighborhood has the (q+n)th Peano derivative at x; in this case the latter is called the generalized nth Peano derivative of F at x and denoted by $F_{[n]} (x)$ . We show that generalized Peano derivatives belong to the class [Δ’]. Also we show that they are path derivatives with a nonporous system of paths satisfying the I.I.C....

Currently displaying 1 – 20 of 53

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