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Reaserch Papers

    1. What is the Adjoint of a Linear System?, with Dennis S. Bernstein. IEEE Control SystemsVolume 40 Issue 3  (2020). PreprintURL, doi: 10.1109/MCS.2020.2976389
    2. A Discrete-Time, Time-Delayed Lur’e Model with Biased Self-Excited Oscillations, with Juan Paredes, Syed Aseem Ul Islam, and Dennis S. Bernstein, March 2020, Preprint.
    3. Weighted Inequalities for Trigonometric Sums, with Horst Alzer In  "Trigonometric Sums and Their Applications", by A. Raigorodskii, M. T. Rassias (eds.), Springer, Cham, 2020. doi: 10.1007/978-3-030-37904-9_4
    4. Computation of several Hessenberg determinants, with Feng Qi and Issam Kaddoura. Mathematica Slovaca, Volume 70 Issue 4, February (2020). Preprint.
    5. How slippery is viscous friction? with Anna Prach and Dennis S. Bernstein. IEEE Control Systems. Volume 39 Issue 3  (2019). PreprintURL, doi: 10.1109/MCS.2019.2900785
    6. Counting colorful necklaces and bracelets in three colors. with Dennis S. Bernstein. Aequationes Mathematicae (2019) Volume 93 Issue 3. pp 1183-1202. doi:10.1007/s00010-019-00645-w, Direct link.
    7. Sharp two-parameter bounds for the identric mean. Journal of Inequalities and Applications 2018:322 (2018), 8 pages. doi: 10.1186/s13660-018-1917-2, Direct linkPMCID: PMC6267388
    8. The convergence of some weighted means of values of a function. Bolletino Dell’Unione Matematica Italiana 11 (2018),  pp. 541-555, doi: 10.1007/s40574-017-0151-z, URL, Direct link
    9. On certain new refinements of Finsler-Hadwiger inequalities.  Journal of Inequalities and Applications 2017:80 (2017), 13 pages. doi: 10.1186/s13660-017-1356-5,   URL, Direct linkPMCID: PMC5395604
    10. Generalized Stieltjes constants and integrals involving the LOG–LOG function: Kummer’s theorem in action. Journal Of Classical Analysis, 9, Issue 2. (2016). pp 79-88. URL, PDF, doi:10.7153/jca-09-09
    11. Inequalities for finite trigonometric sums. An interplay: with the sum of certain series related to hanmonic numbers. Journal of Inequalities and Applications 2016:173 (2016), 15 pages. doi: 10.1186/s13660-016-1112-2. URL. Direct link
    12. "Iterating a Square-Root ExpressionWolfram Demonstrations Project Published: June 24, 2016.
    13. Binomial identities with Harmonic Numbers, with A. Kotronis. MathProblems. 5, Issue 1, (2015), pp. 402-406. URLPDF.
    14. A Reverse Hilbert-like Optimal Inequality. Mathematical Inequalities and Applications,  Volume 18, Number 2 (2015), pp. 607-614.  doi: 10.7153/mia-18-45, URL
    15. Influence of contact's width on the resistance measurement and resistivity anisotropy determination method for an anisotropic circular disk, with A. Nader. Journal of Applied Physics 115, (23) 234909 (2014). doi: 10.1063/1.4883764. URL 
    16. Bounds for the Ratios of Differences of Power Means in Two Arguments. Mathematical Inequalities and Applications,  Volume 17, Number 3 (2014), pp. 913-928. doi: 10.7153/mia-17-66,  PDF
    17. An Inequality For Bounded Functions. Mathematical Inequalities and Applications, Volume 17, Number 2 (2014), pp. 531-537. doi: 10.7153/mia-17-40, PDF
    18. A Mixed Parseval-Plancherel Formula. Journal Of Classical Analysis, 4, Issue 2. (2014). pp 159-165. URLPDFdoi:10.7153/jca-04-10
    19. Lecture Notes, Bernoulli Polynomials and Applications. (2013) PDF
    20. The Polar Decomposition Of a Gamma Related Function, Proposed Solution to OQ. 4498. Octogon Mathematical Magazine, 21, No 2. April (2013). URL, PDF
    21. Proposed Solution to OQ. 4193. Octogon Mathematical Magazine, 21, No 1. April (2013). URL, PDF
    22. Exact Evaluation of Some Highly Oscillatory Integrals. Journal of Classical Analysis, 3, Issue  1. (2013). pp. 45-57. URL, PDF, doi:10.7153/jca-03-04
    23. An Optimal Inequality For the Tangent Function. MathProblems. 2, Issue 3, (2012), pp. 112-117. URL, PDF
    24. Partial Fraction Expansions for Newton's and Halley's Iterations for Square Roots. KYUNGPOOK Math. J. 52, 3. (2012), pp. 347--357. URL, doi:10.5666/KMJ.2012.52.3.347
    25. A Note on The Positivity of the Coefficients of Some Power Series Expansions.  (2011). PDF
    26. On Certain Sums Related to the Largest Odd Divisor, (2011). PDF
    27. The Sum of Certain Series Related to Harmonic Numbers. Octogon Mathematical Magazine, 19, No 1. April (2011). URL, PDF
    28. Explicit form of the geometric factor for a thin disk's resistivity measurement, with A. Nader.  Measurement. 43, 9, (2010), pp. 1192-1196. URL
    29. Accelerated convergence for a normal state layered superconductor's transverse resistance expression, measured with strip contacts, with A. Nader. Measurement. 43, 7, (2010), pp. 975-982. URL
    30. A Generalization of Riemann sums. Mathematical Reflections,  Issue 1. (2010). Later appeared in the book: Mathematical Reflections: two more years (2010-2011) (ed. Titu Andreescu),  XYZ Press (2014),  pp.  379--384.. URL, PDFPDF
    31. The Sum of the ``Harmonic Series'' Is Not Enough. SIAM, Problems and Solutions, Electronic. (2009). URL
    32. A duality based proof of the Combinatorial Nullstellensatz. The electronic journal of combinatorics, 16,  N9, (2009). PDF
    33. New Bounds For The Identric Mean Of Two Arguments.  Journal of Inequalities in Pure and Applied Mathematics, 9, No. 3, (2008) Art. 71. URL
    34. Inequalities related to the error function. (2006) PDF
    35. Elementary evaluation of . (2004) PDF
    36. On the interpolation of injective or projective tensor products of Banach spaces. Journal of Functional Analysis. 96, 1, Feb. (1991). URL
    37. H1-projective spaces. Quaterly journal of Mathematics. Oxford (2), 41, (1990), 295-312. URL
    38. Les espaces H1-projectifs, (French.)  Séminaire d'Analyse, Eds. (G. Choquet, G. Godefroy, M. Rogalski, J. Saint Raymond.) 95, 01/(1989).
    39. Sur l'interpolation des produits tensoriels projectifs ou injectifs d'espaces de Banach, (French.) Comptes Rendus de l'Academie des Sciences, Paris,  t.309, Série I, (1989), 683-686.
    40. L'application canonique    n'est pas surjective en général, (French.)  Comptes Rendus de l'Academie des Sciences, Paris, t.307, Série I, (1988), 949-953.

    Omran Kouba