Some problems and solutions involving Mathieu's series and its generalizations.
Some properties of a function connected to a double series.
Some properties of arithmetic means of real sequences
Some properties of fractional calculus and linear operators associated with certain subclass of multivalent functions.
Some properties of functions with bounded mean oscillation
Some Properties of Mittag-Leffler Functions and Matrix-Variate Analogues: A Statistical Perspective
Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and their generalizations appear in a large variety of problems in different areas. When we move from total differential equations to fractional equations Mittag-Leffler functions come in naturally. Fractional reaction-diffusion problems in physical sciences and general input-output models in other disciplines are some of the examples in this direction. Some basic properties of Mittag-Leffler functions are...
Some properties of real functions of two variables and some consequences
Some properties of the ring of Nash functions
Some quadratic integral inequalities of first order
Some quadratic integral inequalities of Opial type
We derive and investigate integral inequalities of Opial type: , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation. In this paper...
Some recent results concerning weak Asplund spaces
Some refinements and generalizations of Carleman's inequality.
Some regularity properties of algorithms and additive functions with respect to them.
Some remarks about a notion of rearrangement
Some remarks on a paper by A. McD. Mercer: “Polynomials and convex sequence inequalities” [JIPAM. J. Inequal. Pure Appl. Math. 6, 2005, no. 1, Paper No. 8, 4p., electronic only].
Some remarks on almost continuous functions
Some remarks on descriptive characterizations of the strong McShane integral
We present the full descriptive characterizations of the strong McShane integral (or the variational McShane integral) of a Banach space valued function defined on a non-degenerate closed subinterval of in terms of strong absolute continuity or, equivalently, in terms of McShane variational measure generated by the primitive of , where is the family of all closed non-degenerate subintervals of .
Some remarks on Hadamard's inequalities for convex functions.
Some Remarks on Indicatrices of Measurable Functions
We show that for a wide class of σ-algebras 𝓐, indicatrices of 𝓐-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.
Some Remarks on Inequalities of Landau and Kolmogorov.