Results 21 to 30 of about 355,073 (333)
On a system of integral inequalities [PDF]
Proceedings of the American Mathematical Society, 1970 The present note obtains a vector extension and a further generalization of Bihari’s Lemma on an integral inequality. The inequality proved can be used in the study of the componentwise behaviour of solutions of differential systems.
Deo, S. G., Murdeshwar, M. G.
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Fractional Integral Inequalities via Hadamard’s Fractional Integral
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad +2 more
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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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On Slater's Integral Inequality [PDF]
Journal of Mathematical Inequalities, 2011 In this paper we give a generalization of results given by Pecari´ ˇ c and Adil (2010). We use a log -convexity criterion and establish improvements and reverses of Slater’s and related inequalities.
Adil Khan, M., Pečarić, Josip
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Differential and integral inequalities [PDF]
Proceedings of the American Mathematical Society, 1964 RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
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On Some New Impulsive Integral Inequalities
Journal of Inequalities and Applications, 2008 We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the theory of some classes of impulsive ...
Jianli Li
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Minimal Conditions for Implications of Gronwall-Bellman Type [PDF]
, 2016 Gronwall-Bellman type inequalities entail the following implication: if a sufficiently integrable function satisfies a certain homogeneous linear integral inequality, then it is nonpositive.
Herdegen, Martin, Herrmann, Sebastian
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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 ...
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Dynamical significance of generalized fractional integral inequalities via convexity
AIMS Mathematics, 2021 The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting as ...
Sabila Ali +7 more
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