Research interests: Semi-inner product spaces, geometry of Banach spaces, sequence spaces, inequality theory, integral approximations, bioinformatics
Publications over the past five years:
Kikianty E, Kitagawa T A History of Mathematics in South Africa: Modern Milestones. To appear in The Mathematical Intelligencer
Kikianty E, Nongxa L The National Rating System in South Africa: The Past Impacts the Future. To appear in Notices of the American Mathematical Society
Kikianty E, Schwanke C Discrete Morrey Spaces are Closed Subspaces of their Continuous Counterparts. To appear in Banach Center Publications (Institute of Mathematics, Polish Academy of Sciences)
Gunawan H, Kikianty E, Sawano Y, Schwanke C, Three geometric constants for Morrey spaces. the Bulletin of the Korean Mathematical Society 56(6)(2019) 1569–1575
Cerone P, Dragomir SS, Kikianty E Jensen–Ostrowski inequalities and integration schemes via the darboux expansion. Ukrainian Mathematical Journal 69(8)(2018) 1306-1327
Dragomir SS, Kikianty E Chebyshev type inequalities by means of copulas. Journal of Inequalities and Applications (2017) 2017:272
Cerone P, Dragomir SS, Kikianty E Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight. Journal of Mathematical Inequalities 11(4)(2017) 947–964
Gunawan H, Kikianty E, Schwanke C Discrete Morrey Space and their inclusion properties. Mathematische Nachrichten 291(2018) 1283-1296
Kikianty E Sinnamon G Angular equivalence of normed spaces. J. Math. Anal. Appl. 454(2)(2017) 942-960
Cerone P, Dragomir SS, Kikianty E Ostrowski and Jensen type inequalities for higher derivatives with applications. Journal of Inequalities and Special Functions 7(1)(2016), 61-77
“On inequalities of Jensen-Ostrowski type”, with P. Cerone and S.S. Dragomir, J. Inequal. Appl. (2015), 2015: 328.
“On the Hadamard sequence spaces hp[X] and the p-summing operators”, with C.C.A. Labuschagne, Mediterr. J. Math 12 (2015), 957–972.
“Jensen-Ostrowski type inequalities and applications for f-divergence measures” with P. Cerone and S.S. Dragomir, Appl. Math. Comput. 266 (2015), 304–315.
“Ostrowski and trapezoid type inequalities related to Pompeiu’s mean value theorem”, with P. Cerone and S.S. Dragomir, J. Math. Inequal. 9 (2015), No. 3, 739-762.
“Order generalised gradient and operator inequalities”, with S.S. Dragomir, J. Inequal. Appl. (2015), 2015:49.
“Approximations of the Jensen divergence” with S.S. Dragomir, L. Ndlovu, and D. Sherwell, Appl. Math. Inf. Sci. 8 (2014), No. 6, 1–11.
“Sharp upper and lower bounds for the Jensen-divergence with applications”, with S.S. Dragomir, I.T. Dintoe and D. Sherwell, J. Inequal. Appl (2013), 2013:267.
“On the Torricellian points in normed linear spaces and applications”, with S.S. Dragomir and D. Comănescu, J. Inequal. Appl (2013), 2013:258.
“On Carlsson type orthogonality and characterisation of inner product spaces” with S.S. Dragomir, Filomat, 26 (2012), No. 4, 859–870.
Chapters in Books
“Error bounds for Trapezoid type quadrature rules with applications for the mean and variance”, with P. Cerone and S.S. Dragomir, Applications of Mathematics and Informatics to Science and Engineering, Springer Optimization and Its Applications, Vol. 91, Springer, 2014, 77-93.
“Multiplicative Ostrowski and trapezoid inequalities”, with P. Cerone and S.S. Dragomir, Handbook of Functional Equations: Functional Inequalities, Springer Optimization and Its Applications, Vol. 95, Springer, 2014, 57-73.
“Copulas, Quasi-Copulas and Markov Processes”, with C.C.A. Labuschagne, Proceedings of RIMS Symposium on Mathematics for Uncertainty and Fuzziness, RIMS Kôkyûroku 2014, No.1906, 124–135.
“Replication of epistatic DNA loci in two case-control GWAS studies using OPE algorithm”, with B. Goudey, Q. Wang, D. Rawlinson, A. Zarnegar, J. Markham, G. Macintyre, G. Abraham, L. Stern, M. Inouye, I. Haviv, and A. Kowalczyk, BMC Bioinformatics 2011, 12(Suppl 11):A5 doi:10.1186/1471-2105-12-S11-A5.
“Accuracy test for genome wide selection of bio-markers”, with A. Kowalczyk and F. Shi, Neural Information Processing Systems (NIPS) Workshop 2011.