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The main objective of this paper is to obtain explicit estimates on some integral inequalities on time scale. The obtained inequalities can be used as tools in the study of certain classes of dynamic… (More)
In this note we present exact lower and upper bounds for the integral of a product of nonnegative convex resp. concave functions in terms of the product of individual integrals. They are found by… (More)
and Applied Analysis 3 then lim k Uf Lf, ∀f ∈ C X . 3.2 Moreover, if X is a compact metric space, then the convergence is uniform. Proof. Let f ∈ C X . The case when Lf f is trivial. Indeed, in this… (More)
We represent new estimates of errors of quadrature formula, formula of numerical differentiation and approximation using Taylor polynomial. To measure the errors we apply representation of the… (More)
In this paper we give a variant of Jessen’s inequality for isotonic linear functionals. Our results generalize some recent results of Gavrea. We also give comparison theorems for generalized means.
In this note we introduce a simple and efficient technique for studying the asymptotic behavior of the iterates of a large class of positive linear operators preserving constant functions. © 2011… (More)
We introduce a q analogue of the Meyer-König-Zeller Durrmeyer type operators and investigate their rate of convergence.