On the solution of some maximization problems based on a Jensen inequality

• Autorzy: Scheiber E. , Lupu M.
• Języki publikacji: EN

Abstrakty

EN

Models of fluid mechanics phenomena like the deflector of maximal drag or maximal lifting lead to maximization problems whose solutions are obtained using a method based on a Jensen inequality. The purpose of this paper is to point out the united character of tne given solutions. A scheme is derived for an unconstrained and for a constrained maximization problem, which is applied to four examples.

Słowa kluczowe

EN

Jensen's inequality; deflector of maximal drag; maximal lifting

PL

nierówności Jensena; nierówności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 719--726
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Scheiber E.

• Department of Computer Science, Transilvania University of Braşov, 500007 Braşov, Romania

autor

Lupu M.

• Department of Mathematics, Transilvania University of Braşov, 500007 Braşov, Romania

Bibliografia

• [1] P. R. Beesack, J. E. Pečarić, On Jensen's inequality for convex functions, J. Math. Anal. Appl. 110 (1985), 536-552.
• [2] G. H. Hardy, J. E. Littlewod, G. Polya, Inequalities, Cambridge Univ. Press, 1959.
• [3] M. Lupu, E. Scheiber, A. Postelnicu, Optimal airfoil for symmetrical Helmholz model in aerodynamics, Proc. 2nd Inter. Conf. on Symmetry and Antisymmetry in Mathematics, Formal languages and computer science, Braşov (2000), 185-197.
• [4] M. Lupu, E. Scheiber, Analytical methods for airfoils optimization in the case of nonlinear problems in jet aerodynamics, Math. Reports Acad. Romana, 3(53), no. 1 (2001), 33-43.
• [5] D. V. Maklakov, Nonlinear Problems in Hydrodynamics, Yanus K. Ed., Moskva (1997) (Russian).
• [6] D. V. Maklakov, A. N. Uglov, On the maximum drag of a curved plate in flow with a wake, Euro J. Appl. Math. 6 (1995), 517-527.
• [7] A. P. Prudnikov, Y. A. Bricikov, O. I. Marishev, Integrals and Series, Ed. Nauka, Moskva (1981) (Russian).
• [8] I. Raşa, T. Vladislav, Inequalities and Applications, Ed. Tehnică, Bucureşti (2000) (Romanian).
• [9] T. Y. Wu, A. K. Whitney, Theory of optimum shapes in free surface flow, J. Fluid Mech, 55 (1972), 439-455.