The weighted square integral inequalities for the first derivative of the function of a real variable.
Hussain, S., Pečarić, J., Shashiashvili, M. (2008)
Journal of Inequalities and Applications [electronic only]
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Hussain, S., Pečarić, J., Shashiashvili, M. (2008)
Journal of Inequalities and Applications [electronic only]
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Noboru Endou, Yasunari Shidama, Masahiko Yamazaki (2006)
Formalized Mathematics
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In this paper, we showed the linearity of the indefinite integral [...] the form of which was introduced in [11]. In addition, we proved some theorems about the integral calculus on the subinterval of [a,b]. As a result, we described the fundamental theorem of calculus, that we developed in [11], by a more general expression.
T. Takahashi (1934)
Studia Mathematica
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Antonio Gaudiello, Rejeb Hadiji (2009)
Annales de l'I.H.P. Analyse non linéaire
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Hajaiej, H., Stuart, C.A. (2004)
International Journal of Mathematics and Mathematical Sciences
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Episkoposian, S.A. (2006)
International Journal of Mathematics and Mathematical Sciences
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Pérez Esteva, Salvador (1990)
International Journal of Mathematics and Mathematical Sciences
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Xiaozhou, Shang, Mingzhe, Gao (2010)
International Journal of Mathematics and Mathematical Sciences
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Pathak, R.S., Pathak, S. (2004)
International Journal of Mathematics and Mathematical Sciences
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Giovanna Idone (2004)
Czechoslovak Mathematical Journal
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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension is less than or equal to .