A new class of analytic functions involving certain fractional derivative operators.
A new extension of monotone sequences and its applications.
A new method to obtain decay rate estimates for dissipative systems
We consider the wave equation damped with a boundary nonlinear velocity feedback p(u'). Under some geometrical conditions, we prove that the energy of the system decays to zero with an explicit decay rate estimate even if the function ρ has not a polynomial behavior in zero. This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the construction...
A new proof of monotonicity for extended mean values.
A new proof of some inequality connected with quadratures.
A new proof of the monotonicity of power means.
A new proof of the monotonicity property of power means.
A new type of stable generalized convex functions.
A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
A non-absolutely convergent integral in and the theorem of Gauss
A non-absolutely convergent integral which admits -transformations
A nonexistence result for the Kurzweil integral
It is shown that there exist a continuous function and a regulated function defined on the interval such that vanishes everywhere except for a countable set, and the -integral of with respect to does not exist. The problem was motivated by extensions of evolution variational inequalities to the space of regulated functions.
A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
A nonstandard analysis characterization of Arzela's quasi-uniform convergence for sequences of real functions
A note about the almost continuity
A note concerning a paper by L. E. Snyder
A note on a general difference-functional equation.
A note on almost contra-precontinuous functions.
A note on an inequality for the gamma function.
A Note on Bojanic-Seneta Theory of Regularly Varying Sequences.