Some Inequalities Relating to Upper and Lower Bounds for the Riemann––stieltjes Integral

نویسندگان

  • S. S. DRAGOMIR
  • C. E. M. PEARCE
چکیده

Some new inequalities are obtained relating to the generalized trapezoid and midpoint rules for the Riemann–Stieltjes integral with a convex integrand and monotone nondecreasing integrator. Results are deduced for the special case of weighted Riemann integrals. Mathematics subject classification (2000): Primary 26D15, Secondary 26D10..

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تاریخ انتشار 2009