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.
On convex functions bounded below. (Short Communication).
On convex stochastic processes.
On convolution of continuous functions
On co-ordinated quasi-convex functions
A function , where is an interval, is said to be a convex function on if holds for all and . There are several papers in the literature which discuss properties of convexity and contain integral inequalities. Furthermore, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We define some new classes of convex functions that we name quasi-convex, Jensen-convex, Wright-convex, Jensen-quasi-convex and Wright-quasi-convex functions...
On -preinvex-type functions.
On Darboux selections
On Darboux solutions of the Euler's equation.