Comments on some analytic inequalities.
Commuting functions and simultaneous Abel equations
The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
Compact and weakly compact homomorphisms between algebras of differentiable functions.
Many authors have recently studied compact and weakly compact homomorphisms between function algebras. Among them, Lindström and Llavona [2] treat weakly compact continuous homomorphisms between algebras of type C(T) when T is a completely regular Hausdorff space.Llavona asked wether the results in [2] are valid in the case of algebras of differentiable functions on Banach spaces. The purpose of this note is to give an affirmative answer to this question, by proving that weakly compact homomorphisms...
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compact operators and integral equations in the space
The space of Henstock-Kurzweil integrable functions on is the uncountable union of Fréchet spaces . In this paper, on each Fréchet space , an -norm is defined for a continuous linear operator. Hence, many important results in functional analysis, like the Banach-Steinhaus theorem, the open mapping theorem and the closed graph theorem, hold for the space. It is known that every control-convergent sequence in the space always belongs to a space for some . We illustrate how to apply results...
Compactifications, Hartman functions and (weak) almost periodicity [Book]
Compacts de fonctions de première classe
Companion inequalities to Jensen's inequality for -convex and -convex functions.
Comparative Analysis of Viscoelastic Models Involving Fractional Derivatives of Different Orders
Mathematics Subject Classification: 74D05, 26A33In this paper, a comparative analysis of the models involving fractional derivatives of di®erent orders is given. Such models of viscoelastic materials are widely used in various problems of mechanics and rheology. Rabotnov's hereditarily elastic rheological model is considered in detail. It is shown that this model is equivalent to the rheological model involving fractional derivatives in the stress and strain with the orders proportional to a certain positive...
Comparison and oscillation results for delay difference equations with oscillating coefficients.
Comparison of L¹- and -norms of squares of polynomials
Comparison results and steady states for the Fujita equation with fractional laplacian
Comparison theorems of isoperimetric type for moments of compact sets.
A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.
Compensated convexity and its applications
Complément de Schur et sous-différentiel du second ordre d'une fonction convexe.
Complementary inequalities involving the Stolarsky mean.
Complemented subalgebras of the Baire-1 functions defined on the interval .
Complements, approximations, smoothings and invariance properties.
Complements of Lyapunov's Inequality.
Complements of Ostrowski type inequalities.