EuDML | Browse

For a differentiable function $𝐟 : I \to ℝ^{k},$ where $I$ is a real interval and $k \in ℕ$ , a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence of a mean $M : I^{2} \to I$ such that $𝐟 (x) - 𝐟 (y) = (x - y) 𝐟^{'} (M (x, y)), x, y \in I,$ are given. Similar considerations for a theorem accompanying the Lagrange mean-value theorem are presented.

Multipliers of spaces of derivatives

Jan Mařík, Clifford E. Weil (2004)

Mathematica Bohemica

For subspaces, $X$ and $Y$ , of the space, $D$ , of all derivatives $M (X, Y)$ denotes the set of all $g \in D$ such that $f g \in Y$ for all $f \in X$ . Subspaces of $D$ are defined depending on a parameter $p \in [0, \infty]$ . In Section 6, $M (X, D)$ is determined for each of these subspaces and in Section 7, $M (X, Y)$ is found for $X$ and $Y$ any of these subspaces. In Section 3, $M (X, D)$ is determined for other spaces of functions on $[0, 1]$ related to continuity and higher order differentiation.

Multistructures determined by differential rings

Jan Chvalina, Ludmila Chvalinová (2000)

Archivum Mathematicum

Nederivovatelné funkce

David Preiss (1983)

Pokroky matematiky, fyziky a astronomie

New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces

Xin-Cui Guo, Ze-Hua Zhou (2015)

Czechoslovak Mathematical Journal

Let $u$ be a holomorphic function and $ϕ$ a holomorphic self-map of the open unit disk $𝔻$ in the complex plane. We provide new characterizations for the boundedness of the weighted composition operators $u C_{ϕ}$ from Zygmund type spaces to Bloch type spaces in $𝔻$ in terms of $u$ , $ϕ$ , their derivatives, and $ϕ^{n}$ , the $n$ -th power of $ϕ$ . Moreover, we obtain some similar estimates for the essential norms of the operators $u C_{ϕ}$ , from which sufficient and necessary conditions of compactness of $u C_{ϕ}$ follows immediately.

Currently displaying 81 – 100 of 247

Previous Page 5 Next

Displaying 81 – 100 of 247

Linear operators satisfying the chain rule.

Lipschitz regularity and approximate differentiability of the Diperna-Lions flow

Lusin density and Ceder's differentiable restrictions of arbitrary real functions

Mean value theorems for divided differences and approximate Peano derivatives

Mean value theorems for some linear integral operators.

Mean Value Theorems in q-calculus

Mean-value theorem for vector-valued functions

Multipliers of spaces of derivatives

Multistructures determined by differential rings

Nederivovatelné funkce

New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces

New classification of analytic functions with negative coefficients.

Note on Riemann's paper ? Versuch einer allgemeinen Auffassung der Integration und Differentiation" Werke pp. 331?344

Note sur les vraies valeurs des expressions de la forme $\frac{\infty}{\infty}$

Note sur une formule de Gauss

Notes on an approximate derivative

O hmotě trojosého ellipsoidu

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

On a certain condition of the monotonicity of functions

On a Functional Equation in Connection with Derivations.

Currently displaying 81 – 100 of 247