A generalization of the theorem of Mauldin
A Generalized Mean-Value Theorem.
A generalized -porous set with a small complement.
A global uniqueness result for fractional order implicit differential equations
In this paper we investigate the global existence and uniqueness of solutions for the initial value problems (IVP for short), for a class of implicit hyperbolic fractional order differential equations by using a nonlinear alternative of Leray-Schauder type for contraction maps on Fréchet spaces.
A Hake-type property for the -integral and its relation to other integration processes
A hierarchy in the family of real surjective functions
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties. These examples help us to establish a hierarchy within the different classes of surjectivity we deal with. The classes presented here are: everywhere surjective functions, strongly everywhere surjective functions, κ-everywhere surjective functions, perfectly everywhere surjective functions and Jones functions. The...
A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications
This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kurzweil-Pettis integral a result obtained by Balder and Hess (in the integrably bounded case) and also a result of Hess and Ziat (in the Pettis integrability setting). As applications, a solution to a best approximation problem is given, weak compactness results are deduced and, finally, an existence theorem for an integral inclusion involving the Henstock-Kurzweil-Pettis set-valued integral is obtained.
A Korovkin-type theorem in the space of Riemann integrable funciotns.
A limit formula for regular iteration groups.
A limit formula for regular iteration groups. (Summary).
A linear functional differential equation with distributions in the input.
A logarithmic extension of the Hölder inequality.
A logarithmically completely monotonic function involving the Gamma functions.
A Marchaud type inequality
We present a new Marchaud type inequality in spaces.
A mean value inequality for positive integral transformations with application to a maximal theorem
A mean value property for pairs of integrals.
A measure-theoretic characterization of the Henstock-Kurzweil integral revisited
In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integral is regular. As a result, we give a shorter proof of the measure-theoretic characterization of the Henstock-Kurzweil integral.
A minimum energy condition of 1-dimensional periodic sphere packing.
A monotonicity criterion for arbitrary functions
A multidimensional analogue of the Denjoy-Perron-Henstock-Kurzweil integral.