On compositions and products of almost continuous functions
On Condition Numbers and the Distance to the Nearest Ill-posed Problem.
On conditions for the boundedness of the Weyl fractional integral on weighted spaces
In this paper we give a sufficient condition on the pair of weights for the boundedness of the Weyl fractional integral from into . Under some restrictions on and , this condition is also necessary. Besides, it allows us to show that for any there exist non-trivial weights such that is bounded from into itself, even in the case .
On connectivity points
On connectivity points of Darboux functions
On continuity and monotonicity of Darboux functions
On continuity and monotonicity of Darboux transformations.
On continuous convex or concave functions with respect to the logarithmic mean
On continuous functions and the approximate symmetric derivatives
On continuous functions with no unilateral derivatives
We construct a family of continuous functions on the unit interval which have nowhere a unilateral derivative finite or infinite by using De Rham’s functional equations. Then we show that for any
On continuous interval functions
On Continuous Solutions of a Functional Inequality.
On Contractibility of the Operator i-t Nabla f
On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)
One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.
On convergence for the -integral
On convergence of Börsch-Supan's method with Weierstrass' corrections.
On convergence of -series involving basic hypergeometric series.
On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces.
On convex and *-concave multifunctions
A continuous multifunction F:[a,b] → clb(Y) is *-concave if and only if the inclusion holds for every s,t ∈ [a,b], s < t.
On convex functions bounded below.