A class of subadditively continuous real functions
A classification of separable Rosenthal compacta and its applications [Book]
A Classification Of Solutions Of Second Order Linear Differential Equations By Means Of Regularly Varying Functions
A Cohen-type inequality for Jacobi-Sobolev expansions.
A companion of Ostrowski's inequality for mappings whose first derivatives are bounded and applications in numerical integration
A comparative analysis of Bernstein type estimates for the derivative of multivariate polynomials
We compare the yields of two methods to obtain Bernstein type pointwise estimates for the derivative of a multivariate polynomial in a domain where the polynomial is assumed to have sup norm at most 1. One method, due to Sarantopoulos, relies on inscribing ellipses in a convex domain K. The other, pluripotential-theoretic approach, mainly due to Baran, works for even more general sets, and uses the pluricomplex Green function (the Zaharjuta-Siciak extremal function). When the inscribed ellipse method...
A comparison of three recent selection theorems
We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, with a selection theorem of Schrader based on bounded oscillation and with a selection theorem of Di Piazza-Maniscalco based on bounded -oscillation.
A computer proof of Turán's inequality.
A concept of absolute continuity and a Riemann type integral
We present a descriptive definition of a multidimensional generalized Riemann integral based on a concept of generalized absolute continuity for additive functions of sets of bounded variation.
A concise proof for properties of three functions involving the exponential function.
A condition implying boundedness and VMO for a function f
Some boundedness and VMO results are proved for a function f integrable on a cube , starting from an integral bound.
A condition of Busemann-Feller type for the derivation of integrals of functions in the class Φ (L).
A conjecture of Schoenberg.
A conjecture on general means.
A constructive integral equivalent to the integral of Kurzweil
We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals
We show that a Pettis integrable function from a closed interval to a Banach space is Henstock-Kurzweil integrable. This result can be considered as a continuous version of the celebrated Orlicz-Pettis theorem concerning series in Banach spaces.
A continuous and a discrete variant of Wirtinger's inequality.
A continuum of minimal pairs of compact convex sets which are not connected by translations.
A contour view on uninorm properties
Any given increasing function is completely determined by its contour lines. In this paper we show how each individual uninorm property can be translated into a property of contour lines. In particular, we describe commutativity in terms of orthosymmetry and we link associativity to the portation law and the exchange principle. Contrapositivity and rotation invariance are used to characterize uninorms that have a continuous contour line.
A convergence theory of some methods of integration.