New inequalities similar to Hardy-Hilbert inequality and their applications.
New integral inequalities for iterated integrals with applications.
New iterative methods for solving nonlinear equations by using modified homotopy perturbation method.
New means of Cauchy's type.
New Orlicz variants of Hardy type inequalities with power, power-logarithmic, and power-exponential weights
We obtain Hardy type inequalities and their Orlicz-norm counterparts with an N-function M, power, power-logarithmic and power-exponential weights ω, ρ, holding on suitable dilation invariant supersets of C 0∞(ℝ+). Maximal sets of admissible functions u are described. This paper is based on authors’ earlier abstract results and applies them to particular classes of weights.
New Ostrowski type inequalities involving the product of two functions.
New Ostrowski type inequalities via mean value theorems.
New proof of two theorems concerning tauberian reduction of integrals
New results in discrete asymptotic analysis.
New results in extremal problems with polynomials.
New retarded integral inequalities with applications.
New strengthened Carleman's inequality and Hardy's inequality.
New types of continuities.
New upper and lower bounds for the Čebyšev functional.
New upper bounds for Mathieu-type series.
New variants of Khintchine's inequality.
Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
New weighted multivariate Grüss type inequalities.
New weighted Poincaré-type inequalities for differential forms.
Newer applications of generalized monotone sequences.
Newton-like algorithms for kth root calculation