On approximation of the Riemann-Stieltjes integral and applications | Zendy

Wajeeh Alomari | Zendy

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On approximation of the Riemann-Stieltjes integral and applications

Author(s) -

Wajeeh Alomari

Publication year - 2012

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1206145a

Subject(s) - riemann–stieltjes integral , mathematics , daniell integral , riemann integral , type (biology) , integrator , line integral , riemann hypothesis , improper integral , mathematical analysis , calculus (dental) , volume integral , integral equation , pure mathematics , singular integral , computer science , medicine , ecology , dentistry , biology , computer network , bandwidth (computing)

Several inequalities of Gruss type for the Stieltjes integral with various type of integrand and integrator are introduced. Some improvements inequalities are proved. Applications to the approximation problem of the Riemann-Stieltjes integral are also pointed out.

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