List of Publications by Bruce Shawyer

• [A:] REFEREED RESEARCH JOURNALS:
  • [1.] On Riesz Summability Factors, Proc. Glasgow Math. Soc., 5 (1962), 188-196 (Joint with D. Borwein)
  • [2.] On Absolute Riesz Summability Factors, J. London Math. Soc., 39 (1964), 455-465 (Joint with D. Borwein)
  • [3.] On Strong Riesz Summability Factors, J. London Math. Soc., 40 (1965), 111-126 (Joint with D. Borwein)
  • [4.] Theorems on strong Riesz Summability Factors, Proc. Edinburgh Math. Soc. Series II, 15 (1966), 19-27
  • [5.] On Borel-type Methods, Tohoku Math. J., Series 2, 18 (1966), 283-298 (Joint with D. Borwein)
  • [6.] Addendum to Borel-type Methods, Tohoku Math. J., Series 2, 19 (1967), 244 (Joint with D. Borwein)
  • [7.] Borel-type Methods, II, Tohoku Math. J., Series 2, 19 (1967), 232-237 (Joint with D. Borwein)
  • [8.] Some relations between Strong and Ordinary Borel-type Methods of Summability, Math. Z., 109 (1969), 115-120
  • [9.] On the relation between the Abel and Borel-type methods of summability, Proc. Amer. Math. Soc., 22 (1969), 15-19
  • [10.] General Absolute Borel-type methods, J. Reine Angew. Math., 245 (1970), 81-90
  • [11.] On the relation between the Abel-type and Borel-type methods, Proc. Amer. Math. Soc., 26 (1970), 323-328 (Joint with G.S. Yang)
  • [12.] Abelian Theorems for Borel-type methods of Summability, J. London Math. Soc., Series 2, 3 (1971), 169-177
  • [13.] Tauberian relations between the Abel-type and Borel-type methods of Summability, Manuscripta Mathematica, 5 (1971), 341-357 (Joint with G.S. Yang)
  • [14.] On the product of the Cesaro and Borel-type methods of summability, J. London Math. Soc., Series 2, 7 (1973), 111-116
  • [15.] Iteration products of methods of summability and natural scales, Manuscripta Mathematica, 13 (1974), 355-364
  • [16.] Iteration products of methods of summability and natural scales, Addendum, Manuscripta Mathematica, 13 (1974), 355-364
  • [17.] Maximum modulus theorems and Schwarz lemmata for sequence spaces, Canadian Math. Bull., 18 (1975), 593-596
  • [18.] On functional Cesaro and Holder methods of summability, Canadian J. Math., 28 (1976), 1058-1061 (Joint with D. Borwein)
  • [19.] On Integral Abel-type and logarithmic methods of summability, Canadian Math. Bull., 20 (1977), 207-213 (Joint with E.C. Heagy)
  • [20.] On strong integral summability, Proc. Edinburgh Math. Soc., 21 (1978), 79-84 (Joint with E.C. Heagy)
  • [21.] Maximum modulus theorems and Schwarz lemmata for sequence spaces, II, Canadian Math. Bull., 21 (1978), 78-84
  • [22.] A Strong-Riesz Mean Value theorem with Applications to Summability Factors, J. Reine Angew. Math., 298 (1978), 16-31 (Joint with W. Kratz)
  • [23.] The problem of calculating $\pi$. Ontario Math. Gazette, 18 (1979), 36-40
  • [24.] On the Strong-Riesz mean-value theorem, J. Reine Angew. Math., 306 (1979), 208-211
  • [25.] A Banach space version of Okada's theorem on summability of power series, Period. Math. Hungarica, 11 (1980), 271-279 (Joint with W. Gawronski & R. Trautner)
  • [26.] Best Approximation of Alternating Series, J. Approx. Theory, 34 (1982), 397-422 (Joint with W.B. Jurkat)
  • [27.] On continuous maps of sequence spaces, Analysis, 1 (1981), 209-210 (Joint with W.B. Jurkat)
  • [28.] Analytic continuation of power series by regular generalised weighted means, Canadian Math. Bull., 26 (1983), 454-463 (Joint with L. Tomm)
  • [29.] Toeplitz-type theorems for paths in Lozenges, Analysis, 4 (1984), 105-109
  • [30.] Best Approximation of Positive Power Series, Mathematics of Computation, 43 (1984), 529-534
  • [31.] Best Approximation of Alternating Power Series, J. Math. Analysis, 114 (1986), 360-375
  • [32.] Best $L_2$ Approximation of Convergent Moment Series, Mathematics of Computation, 54 (1990), 661-669 (Joint with G. Baur)
  • [33.] On the Asymptotic Distribution of the Zeros of Jacobi Polynomials $P_n(an+ alpha,bn+ beta)$, smallskip Progress in Approximation Theory: Special Issue of J. Approx. Theory, (1991) 379-404 (Joint with W. Gawronski)
  • [34.] Generalised Legendre Polynomials. J. Math. Analysis and Applns., (1993), 177, 530-537 (Joint with P.C. McCarthy and J.E. Sayre)
  • [35.] On Gegenbauer Polynomials in $L_p$ norm. Selecta Analytic, Kuttner Memorial Volume, 1995, 21-34 (Joint with P.C. McCarthy)
  • [36.] Scaled Pictures in LaTeX. TUGboat, (1999), 20, 376-377
  • [37.] Some Remarkable Concurrences. Forum Geometricorum, (2001), 69-74
• [] SUBMITTED
  • [B:] REFEREED CONFERENCE PROCEEDING:
    • [1.] Optimal Algorithms for Best Approximation of Moment Series, Proceedings of the Meeting on Summability, Schloss Reisensburg, (Universit " a t Ulm at Reisensburg, Germany BRD), (1986), 26. smallskip
  • [C:] BOOKS
    • [1.] Borel's Methods of Summability: Theory and Applications. Oxford University Press, 1994. (Joint with B. Watson)
      
      
    • [2.] Shaking Hands in Corner Brook and other mathematical problems. Waterloo Mathematics Foundation, 1995. (Joint with P. Booth and J. Grant McLoughlin)
      
      
    • [3.] 36th International Mathematical Olympiad Canadian Mathematical Society, 1997.
    • [4.] Algebra - Intermediate Methods ATOM Series, Canadian Mathematical Society, 1999
    • [5.] Problems for Mathematics Leagues ATOM Series, Canadian Mathematical Society, 1999 (Joint with Peter I. Booth and John Grant McLoughlin)
    • [6.] Inequalities ATOM Series, Canadian Mathematical Society, 2000 (Joint with Edward J. Barbeau)
  • [D:] OTHER PUBLICATIONS - MATHEMATICAL
    • [1.] Course book for Mathematics 256 (Real Variables), U.W.O., 1968, 35 pp. (Joint with J. Borwein)
    • [2.] Course book for Mathematics 027, (Calculus), U.W.O., 1968, 105 pp. (Joint with N. Callaghan, J. Vranch)
    • [3.] Solution to Advanced Problem #5950, Amer. Math. Monthly, 82 (1975), 414
    • [4.] Why Mathematics, The Science Terrapin, U.W.O., 3 (1977) #3, 15-19
    • [5.] Constructing Regular Polygons using Straightedge and Compasses, The Science Terrapin, U.W.O., 4 (1979), #2, 19-24
    • [6.] Petterns, Compute!, 5, #3, March 1983, 242-245
    • [7.] Course Book for Correspondence Mathematics 023a, Calculus I, U.W.O., 1983 (Joint with R.N. Bryan)
    • [8.] Course Book for Correspondence Mathematics 033b, Calculus II, U.W.O., 1983 (Joint with R.N. Bryan)
    • [9.] Review of Sequence Transformations and their Applications in American Scientist, March 1984
    • [10.] Fear Math No More, Ontario Math. Gazette, 23 (1985) #3, 2-12
    • [11.] Positive, Negative, Plus, Minus, Add, Subtract, Ontario Math. Gazette, 23 (1985) #3, 34-35
    • [12.] Mathematics Enrichment (Preliminary Edition) for the London Board of Education, (1984), 160 pp.
    • [13.] a over b over c, Ontario Math. Gazette, 25 (1987)
    • [14.] Performance of students in First Year Mathematics Courses at Memorial, Teaching Mathematics (NTA Journal), April 1987.
    • [15.] On Learning Mathematics, Teaching Mathematics (NTA Journal), January 1988, 14-15.
    • [16.] What is $ pi$?, Teaching Mathematics (NTA Journal), January 1988, 9-10.
    • [17.] Mathematical Induction, Mathematical Mayhem, Vol. 1, 1989, 16-18
    • [18.] The Carpenter's Theorem, Mathematical Mayhem, Vol. 4, 1992.
    • [19.] The Gauss Integral --- Part II, Mathematical Mayhem, Vol. 5, 1993.
    • [20.] Mathematical Challenge for Juior High School Students -- 1992-93, Teaching Mathematics (NTA Journal), Vol.~20, 1993, 14-16.
    • [21.] Course Manual for Pure Mathematics 3330, Euclidean Geometry, three editions: 1993, 1994, 1995 (approx. 120 pages)
  • [D:] OTHER PUBLICATIONS - NON-MATHEMATICAL
    • [1.] 135 Photographs and 10 maps in Broughdale, Looking for its Past, by A.J. Shawyer, Broughdale Community Association, 135 pp. two editions (1983)
    • [2.] The Newfoundland Flag, A new Scottish Country Dance, St John's Scottish Country Dance Group, 1987.
    • [3.] The Irish Washerwoman, A new Scottish Country Dance, St John's Scottish Country Dance Group, 1988.
    • [4.] The Cameo Brooch, A new Scottish Country Dance, St John's Branch, Royal Scottish Country Dance Society, 1991.
    • [5.] Cape Spear, A new Scottish Country Dance, St John's Branch, Royal Scottish Country Dance Society, 1992.
  • [D:] OTHER PUBLICATIONS