Orthogonal Polynomials and Regularly Varying Sequences
Orthogonally additive functionals on
In this paper we give a representation theorem for the orthogonally additive functionals on the space in terms of a non-linear integral of the Henstock-Kurzweil-Stieltjes type.
Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.
Let K be a non-Archimedean valued field which contains Qp, and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn | n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq --> K) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq --> K).
Oscillating multipliers on noncompact symmetric spaces.
Oscillations, quasi-oscillations and joint continuity.
Oscillatory integrals with polynomial phase.
Ostrowski, Grüss, Čebyšev type inequalities for functions whose second derivatives belong to and whose modulus of second derivatives are convex.
Ostrowski inequalities for cosine and sine operator functions
Ostrowski inequalities on time scales.
Ostrowski type inequalities for higher-order derivatives.
Ostrowski type inequalities for isotonic linear functionals.
Ostrowski type inequalities from a linear functional point of view.
Ostrowski type inequalities in the Grushin plane.
Ostrowski type inequalities over balls and shells via a Taylor-Widder formula.
Ostrowski Type Inequalities over Spherical Shells
2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a point.
Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields
Ostrowski-Grüss type inequalities in two dimensions.
Ostrowski’s type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces
Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral of continuous complex valued integrands defined on the complex unit circle and various subclasses of integrators of bounded variation are given. Natural applications for functions of unitary operators in Hilbert spaces are provided as well.
Ostrowski's type inequalities for continuous functions of selfadjoint operators on Hilbert spaces: a survey of recent results.
Outer -convex functions on a normed space.