International Journal of Science, Engineering and Computer Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

The Development of Cauchy, Riemann and Lebesgue Integral


Affiliations
1 Department of Mathematics, C.R.M. Jat P.G. College, Hisar, Haryana, India
     

   Subscribe/Renew Journal


In this paper, the development of integral of a real variable is examined from the definition given by Cauchy to the definition introduced by Lebesgue. The limitations of Riemann Integral are observed. An example is also given to show then arrow class of Riemann Integral. The large class of Lebesgue Integral is also discussed.

Keywords

Integral Development.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 229

PDF Views: 0




  • The Development of Cauchy, Riemann and Lebesgue Integral

Abstract Views: 229  |  PDF Views: 0

Authors

Vinod Kumar
Department of Mathematics, C.R.M. Jat P.G. College, Hisar, Haryana, India

Abstract


In this paper, the development of integral of a real variable is examined from the definition given by Cauchy to the definition introduced by Lebesgue. The limitations of Riemann Integral are observed. An example is also given to show then arrow class of Riemann Integral. The large class of Lebesgue Integral is also discussed.

Keywords


Integral Development.