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New Inequalities of Simpson's Type for s-Convex Functions with Applications

Mohammad W. Alomari, Maslina Darus, Sever S Dragomir

Victoria University Research Repository (Victoria University) · 2009 · 116 citations · 20 references

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Abstract

In terms of the first derivative, some inequalities of Simpson’s type based on s-convexity and concavity are introduced. Best Midpoint type inequalities are given. Error estimates for special means and some numerical quadrature rules are also obtained.

References

20

Some remarks ons-convex functions

Henryk Hudzik, Lech Maligranda · Aequationes Mathematicae · 1994 · 522 citations · Full text

, , +9

Inequalities for differentiable mappings with application to special means and quadrature formulæ

C. E. M. Pearce, ‎Josip Pečarić · Applied Mathematics Letters · 2000 · 281 citations

, , +8

Hadamard-type inequalities for s-convex functions

U.S. Kirmaci, Milica Klaričić Bakula, ‎Josip Pečarić · Applied Mathematics and Computation · 2007 · 278 citations

, , +9

On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

U.S. Kirmaci · Applied Mathematics and Computation · 2003 · 271 citations

, , +8

THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE

Sever S Dragomir, Simon Fitzpatrick · Demonstratio Mathematica · 1999 · 269 citations · Full text

, , +7