Inequalities of Ostrowski type and applications in numerical integration.
Inequalities of Ostrowski-Grüss type and applications
Some new inequalities of Ostrowski-Grüss type are derived. They are applied to the error analysis for some Gaussian and Gaussian-like quadrature formulas.
Inequalities of solutions of Volterra integral and differential equations.
Inequalities of Young-type.
Inequalities on linear functions and circular powers.
Inequalities on the Lambert function and hyperpower function.
Inequalities on the variances of convex functions of random variables.
Inequalities related to majorization of vectors.
Inequalities related to rearrangements of powers and symmetric polynomials.
Inequalities related to the Chebyshev functional involving integrals over different intervals.
Inequalities via convex functions.
Inequality between sides and diagonals of a space -gon and its integral analog
Inequality for power series with nonnegative coefficients and applications
We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.
Integral inequalities and computer algebra systems.
Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and Dahmani et al. (2011) are special cases of results obtained in present paper.
Integral inequalities of Gronwall type for piecewise continuous functions.
Integral inequalities of the Ostrowski type.
Integral inequalities related to Hardy's inequality.
Integral inequalities similar to Gronwall inequality.
Integral operators and weighted amalgams
For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from into . For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted -spaces. Amalgams of the form , 1 < p,q < ∞ , q ≠ p, , are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.