On a coregular division of a differential space by an equivalence relation
On a decomposition of Hilbert's inequality.
On a Differential Equation with Left and Right Fractional Derivatives
Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05We treat the fractional order differential equation that contains the left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We reduce the problem to a Fredholm integral equation and construct a solution in the space of continuous functions. Two competing approaches in formulating differential equations of fractional order...
On a discrete Opial-type inequality.
On a divisibility problem
On a F. Qi integral inequality.
On A Fourth Order Wronskian Associated With Classical Orthogonal Polynomials
On a fourth order Wronskian associated with classical orthogonal polynomials.
On a Functional Equation in Connection with Derivations.
On a functional equation related to a generalization of Flett's mean value theorem.
On a Functional Equation Related to Iteration.
On a functional equation with asymptotically unique continuous solutions. (Short Communication).
On a functional equation with asymptotically unique continuous solutions.
On a functional inequality arising in the construction of the product of several metric spaces.
On a functional inequality of Kemperman
On a further generalization of Steffensen's inequality.
On a generalisation of the Hahn-Jordan decomposition for real càdlàg functions
For a real càdlàg function f and a positive constant c we find another càdlàg function which has the smallest total variation among all functions uniformly approximating f with accuracy c/2. The solution is expressed in terms of truncated variation, upward truncated variation and downward truncated variation introduced in earlier work of the author. They are always finite even if the total variation of f is infinite, and they may be viewed as a generalisation of the Hahn-Jordan decomposition for...
On a generalization of Henstock-Kurzweil integrals
We study a scale of integrals on the real line motivated by the integral by Ball and Preiss and some recent multidimensional constructions of integral. These integrals are non-absolutely convergent and contain the Henstock-Kurzweil integral. Most of the results are of comparison nature. Further, we show that our indefinite integrals are a.e. approximately differentiable. An example of approximate discontinuity of an indefinite integral is also presented.
On a generalization of Hilbert-type integral inequality.
On a generalization of smooth and symmetric functions