In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives\ud of (n + 1)-th order remain between bounds. From which Iyengar's inequality is generalized and related results in references could be deduced
This article is the second and final part of the author’s work published in the previous issue of t...
Abstract In this paper, we first prove an integral majorization theorem related to integral inequali...
We give upper and lower bounds estimates for the best constant which appears in a multidimensional i...
In the article, using Taylor's formula for functions of several variables, the author establishes so...
AbstractIn the article, using Taylor's formula for functions of several variables, the author establ...
In the article, along with the procedure generalizing the mean value theorems for derivative from Ro...
Inequalities are obtained for weighted integrals in terms of bounds involving the first derivative o...
AbstractThe aim of the present note is to establish some new integral inequalities involving functio...
AbstractIn this paper we prove a rearrangement inequality that generalizes inequalities given in the...
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n ...
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n ...
Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor form...
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n ...
AbstractSharp weighted bounds for strong maximal functions, multiple potentials and singular integra...
We prove sharp weighted inequalities for general integral operators acting on monotone functions of ...
This article is the second and final part of the author’s work published in the previous issue of t...
Abstract In this paper, we first prove an integral majorization theorem related to integral inequali...
We give upper and lower bounds estimates for the best constant which appears in a multidimensional i...
In the article, using Taylor's formula for functions of several variables, the author establishes so...
AbstractIn the article, using Taylor's formula for functions of several variables, the author establ...
In the article, along with the procedure generalizing the mean value theorems for derivative from Ro...
Inequalities are obtained for weighted integrals in terms of bounds involving the first derivative o...
AbstractThe aim of the present note is to establish some new integral inequalities involving functio...
AbstractIn this paper we prove a rearrangement inequality that generalizes inequalities given in the...
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n ...
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n ...
Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor form...
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n ...
AbstractSharp weighted bounds for strong maximal functions, multiple potentials and singular integra...
We prove sharp weighted inequalities for general integral operators acting on monotone functions of ...
This article is the second and final part of the author’s work published in the previous issue of t...
Abstract In this paper, we first prove an integral majorization theorem related to integral inequali...
We give upper and lower bounds estimates for the best constant which appears in a multidimensional i...