Results 11 to 20 of about 8,683 (257)
A note on an integral inequality [PDF]
Proceedings of the American Mathematical Society, 1957 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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Some Integral Inequalities [PDF]
Proceedings of the American Mathematical Society, 1962 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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Nonoscillation and integral inequalities [PDF]
Bulletin of the American Mathematical Society, 1974 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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On a system of integral inequalities [PDF]
Colloquium Mathematicum, 1967 Czesław Olech
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Disconjugacy and integral inequalities [PDF]
Transactions of the American Mathematical Society, 1980 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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New types of general single/multiple integral inequalities
Journal of Inequalities and Applications, 2023 By introducing some concepts such as multiple integral inner product (MIIP) and multiple integral inner product space (MIIPS), new series of single/multiple integral inequalities are developed in a systematic way, which produce more accurate bounds on ...
Liansheng Zhang, Haosheng Meng
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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Extensions of Gronwall-Bellman type integral inequalities with two independent variables
Open Mathematics, 2022 In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form.
Xie Yihuai, Li Yueyang, Liu Zhenhai
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Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
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