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J. Pečarić, I. Rașa
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Horst Alzer
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A note on an integral inequality [PDF]
Recently, K. Tatarkiewicz [1] proved an interesting integral inequality which we shall state as Theorem I. The purpose of this note is to prove-by precisely the same technique used in [1 ]-a considerably more general result (Theorem II). We finally apply Theorem II to the proof of a result comparing the first eigenvalues of two second-order, linear ...
Paul R. Beesack
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Nonoscillation and integral inequalities [PDF]
Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
Shmuel Friedland
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Some Integral Inequalities [PDF]
1. The purpose of this paper is to present a general integral inequality concerning subadditive functions and to make applications of this inequality. The applications pertain to relations among integrals involving first and second differences of LP functions.
Richard P. Gosselin
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Disconjugacy and integral inequalities [PDF]
The basic data in this paper are a disconjugate differential operator and an associated two-point boundary value problem. These define in a natural way a cone of functions satisfying a differential inequality with respect to the operator. By using a result of P. W. Bates and G. B.
Achim Clausing
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On Generalizations of Integral Inequalities
In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve
BAYRAKTAR, BAHTİYAR+2 more
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In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li+4 more
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This paper is concerned with the problem of stability analysis for systems with additive time-varying delays (ATDs). This paper proposes a new free-matrix-based integral inequality that provides estimate of the energy of the vector that contains the ...
In Seok Park, Junhui Lee, P. Park
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