A two points Taylor’s formula for the generalised Riemann integral and various bounds for the remainder are established. Moreover, particular instances of interest are given
Riemann sums based on delta fine partitions are illustrated with a Maple procedur
<p>We propose a new form of integral which arises from infinite partitions. We use upper and lower s...
In mathematics, integration (just the area of a region under the curve) is one of the most important...
A two points Taylor’s formula for the generalised Riemann integral\ud and various bounds for the rem...
AbstractThe generalized Riemann integral with equivalent definitions spanning many years, and its su...
AbstractThis paper presents several new partial integral inequalities in two independent variables w...
We will discuss the definition of the Riemann integral using general partitions and give an elementa...
Identities and inequalities are obtained involving n-time differentiable functions in terms of evalu...
Riemann-type definitions of the Riemann improper integral and of the Lebesgue improper integral are...
AbstractUsing Young's technique which is based on a Riemann function, we unify some inequalities of ...
Since the time of Cauchy, integration theory has in the main been an attempt to regain the Eden of N...
An introductory-level theory of integration was studied, focusing primarily on the well-known Rieman...
In this paper we give some background theory on the concept of fractional calculus, in particular th...
We consider families of general two-point quadrature formulae, using the extension of Montgomery’s...
summary:In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping ...
Riemann sums based on delta fine partitions are illustrated with a Maple procedur
<p>We propose a new form of integral which arises from infinite partitions. We use upper and lower s...
In mathematics, integration (just the area of a region under the curve) is one of the most important...
A two points Taylor’s formula for the generalised Riemann integral\ud and various bounds for the rem...
AbstractThe generalized Riemann integral with equivalent definitions spanning many years, and its su...
AbstractThis paper presents several new partial integral inequalities in two independent variables w...
We will discuss the definition of the Riemann integral using general partitions and give an elementa...
Identities and inequalities are obtained involving n-time differentiable functions in terms of evalu...
Riemann-type definitions of the Riemann improper integral and of the Lebesgue improper integral are...
AbstractUsing Young's technique which is based on a Riemann function, we unify some inequalities of ...
Since the time of Cauchy, integration theory has in the main been an attempt to regain the Eden of N...
An introductory-level theory of integration was studied, focusing primarily on the well-known Rieman...
In this paper we give some background theory on the concept of fractional calculus, in particular th...
We consider families of general two-point quadrature formulae, using the extension of Montgomery’s...
summary:In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping ...
Riemann sums based on delta fine partitions are illustrated with a Maple procedur
<p>We propose a new form of integral which arises from infinite partitions. We use upper and lower s...
In mathematics, integration (just the area of a region under the curve) is one of the most important...