A new approach to Ky Fan-type inequalities.
A New Characterization of Weighted Peetre K-Functionals (II)
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the classical moduli of smoothness taken on a proper linear transforms of the function. The weights with power-type asymptotic at the ends of the interval with arbitrary real exponents are considered. This paper extends the method and results presented...
A new class of analytic functions involving certain fractional derivative operators.
A new delay vector integral inequality and its application.
A new extension of Hilbert's inequality for multifunctions with best constant factors.
A new extension of monotone sequences and its applications.
A new generalization of Ostrowski type inequality on time scales.
A new Hilbert-type integral inequality and the equivalent form.
A new Hilbert-type linear operator with a composite kernel and its applications.
A new inequality similar to Hilbert's inequality.
A new kind of error bounds for some quadrature rules.
A new look at Newton's inequalities.
A new method to obtain decay rate estimates for dissipative systems
We consider the wave equation damped with a boundary nonlinear velocity feedback p(u'). Under some geometrical conditions, we prove that the energy of the system decays to zero with an explicit decay rate estimate even if the function ρ has not a polynomial behavior in zero. This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the construction...
A new method to prove and find analytic inequalities.
A new method to study analytic inequalities.
A new nonlinear retarded integral inequality and its application.
A new part-metric-related inequality chain and an application.
A new proof of a theorem about generalized orthogonal polynomials.
A new proof of inequality for continuous linear functionals.
A new proof of Kelley's Theorem
Kelley's Theorem is a purely combinatorial characterization of measure algebras. We first apply linear programming to exhibit the duality between measures and this characterization for finite algebras. Then we give a new proof of the Theorem using methods from nonstandard analysis.