PETER R. MERCER

REFEREED PUBLICATIONS

32. Another Applictaion of Siebeck's Theorem. To appear in The American Mathematical Monthly.

        31.   (with E.C. Fazekas Jr.*) Elementary Proofs of Error Estimates for the Midpoint and Simpson's Rules. Math. Magazine 82 (2009), 365-370.

         30.   Error Terms for Steffensen's, Young's, and Chebychev's Inequalities. J. Mathematical Inequalities 2 (2008), 479-486.

        29.   Hadamard's Inequality and Trapezoid Rules for the Riemann-Stieltjes Integral. J. Math. Analysis & Applications 344 (2008), 921-926.

          28.   A Refined Cauchy-Schwarz Inequality. Internat. J. Math. Educ. Sci. Tech. 38 (2007), 839-843.

          27.   The Dunkl-Williams Inequality in an Inner Product Space. Math. Inequalities & Applications 10 (2007), 247-251.

26. Schwarz-Pick Type Estimates for the Hyperbolic Derivative. J. Inequalities & Applications 6 (2006), Article #96368.

25. Error Estimates for Numerical Integration Rules. College Mathematics Journal 36 (2005), 27-34.

24.   (with A.M. Mercer) New Proofs of the Gruss Inequality. Australian J. Math. Analysis & Appl. 1 (2004), Article #12.

23.   (with G.T. Halliwell*) A Refinement of an Inequality from Information Theory. J. Ineq. Pure & Appl. Math. 5 (2004), Article #3.

22. The Number c in Cauchy's Average Value Theorem. Internat. J. Math. Educ. Sci. Tech. 35 (2004), 118-122.

21. On a Precursor to Stirling's Formula. Mathematical Gazette 87 (2003), 530-532.

20. Refined Arithmetic, Geometric, and Harmonic Mean Inequalities. Rocky Mountain J. Math. 33 (2003), 1459-1464.

19. On the Monotonicity of Two Well Known Sequences. College Mathematics Journal 34 (2003), 236-238.

18. On a Mean Value Theorem. College Mathematics Journal 33 (2002), 46-48.

17. Type, Fixed Point Iteration, and Mean Value Theorems. Internat. J. Math. Educ. Sci. Tech. 32 (2001), 308-312.

16. Another Look at Julia's Lemma. Complex Variables 43 (2000), 129-138.

15. Extensions of Steffensen's Inequality. J. Math. Analysis & Applications 246 (2000), 325-329.

14. (with A.M. Mercer) Cauchy's Interlace Theorem and Lower Bounds for the Spectral Radius. Int. J. Math. & Math. Sci. 23 (2000), 563-566.

13. A Note on Alzer's Refinement of an Additive Ky Fan Inequality. Math. Inequalities & Applications 3 (2000), 147-148.

12. On a Strengthened Schwarz-Pick Inequality. J. Math. Analysis & Applications 234 (1999), 735-739.

11. The Notion of Type, As Regards Certain Geometric Limits. Internat. J. Math. Educ. Sci. Tech. 30 (1999), 146-148.

10. Compact Composition Operators Between Bergman Spaces on Convex Domains. Integral Eq. & Operator Theory 31 (1998), 482-488.

9. Composition Operators Over Convex Domains. Contemp. Math. 213 (1998), 137-143.

8. Sharpened Versions of the Schwarz Lemma. J. Math. Analysis & Applications 205 (1997), 508-511.

7. (with J.A. Cima) Composition Operators Between Bergman Spaces on Convex Domains. J. Operator Theory 33 (1995), 363-369.

6. (with A.M. Mercer) Modified Sturm-Liouville Expansions. Methods and Applications of Analysis 2 (1995), 112-119.

5. (with B.D. MacCluer) Composition Operators on Hardy and Bergman Spaces on Convex Domains. Proc. A.M.S. 123 (1995), 2093-2102.

4. Extremal Disks and Composition Operators on Convex Domains. Rocky Mountain J. Math. 24 (1994), 1509-1520.

3. A General Hopf Lemma and Proper Holomorphic Maps Between Convex Domains. Proc. Amer. Math. Soc. 119 (1993), 573-578.

2. Complex Geodesics and Iterates of Holomorphic Maps on Convex Domains. Trans. Amer. Math. Soc. 338 (1993), 201-211.

1. Proper Maps, Complex Geodesics, and Iteration of Holomorphic Maps on Convex Domains. Contemp. Math.137 (1992), 339-342.

* denotes undergraduate student.

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