On the range of values of the sum of a continuous and a Darboux function
On the reduction of pairs of bounded closed convex sets
Let X be a Hausdorff topological vector space. For nonempty bounded closed convex sets A,B,C,D ⊂ X we denote by A ∔ B the closure of the algebraic sum A + B, and call the pairs (A,B) and (C,D) equivalent if A ∔ D = B ∔ C. We prove two main theorems on reduction of equivalent pairs. The first theorem implies that, in a finite-dimensional space, a pair of nonempty compact convex sets with a piecewise smooth boundary and parallel tangent spaces at some boundary points is not minimal. The second theorem...
On the refined Heisenberg-Weyl type inequality.
On the relation between Young's and Kurzweil's concept of Stieltjes integral
On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil
In this paper we explain the relationship between Stieltjes type integrals of Young, Dushnik and Kurzweil for functions with values in Banach spaces. To this aim also several new convergence theorems will be stated and proved.
On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in
On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function
2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.
On the Riesz-Fischer theorem for vector-valued functions
On the Rockafellar theorem for -monotone multifunctions
Let X be an arbitrary set, and γ: X × X → ℝ any function. Let Φ be a family of real-valued functions defined on X. Let be a cyclic -monotone multifunction with non-empty values. It is shown that the following generalization of the Rockafellar theorem holds. There is a function f: X → ℝ such that Γ is contained in the -subdifferential of f, .
On the rotation sets for non-continuous circle maps.
On the Schwab-Borchardt mean.
On the Schwab-Borchardt mean. II.
On the self crossing six sided figure problem.
On the set where an approximate derivative is a derivative
On the sharpened Heisenberg-Weyl inequality.
On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials.
On the shifted QR iteration applied to companion matrices.
On the shift-window phenomenon of super-functions.
On the singular support of the distributional determinant
On the singularities of convex functions.