Related papers: On some inequalities of Chebyshev type
In this paper, we investigate some properties of Chebyshev polynomials arising from non-linear differential equations. From our investigation, we derive some new and interesting identities on Chebyshev polynomials.
We establish an inequality of different metrics for algebraic polynomials.
In this work, a generalization of Chebyshev functional is presented. New inequalities of Gruss type via Pompeiu's mean value theorem are established. Improvements of some old inequalities are proved. A generalization of pre-Gruss inequality…
Certain new inequalities for the sums of factorials are presented.
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves…
In this note we prove a weighted version of the Khintchine inequalities.
We give a simple proof of a recently result concerning Hardy $q$-inequalities.
We give new examples of weak Hilbert spaces.
In this paper various notions of convexity of real functions with respect to Chebyshev systems defined over arbitrary subsets of the real line are introduced. As an auxiliary notion, a concept of a relevant divided difference and also a…
In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.
In this paper, we establish some new general Opial inequalities for Widder derivatives.
We give a new recurrent inequality on a class of vertex Folkman numbers.
We establish new and stronger inequality of Clarke-Ledyaev type by direct construction.
We obtain some results related to Romanoff's theorem.
In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.
Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.
We give a counterexample to a recently conjectured variant of the Penrose inequality.
In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.
We obtain Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions.
We derive an efficient CH-type inequality. Quantum mechanics violates our proposed inequality independent of the detection-efficiency problem.