On an open problem of Feng Qi and Bai-Ni Guo
نویسندگان
چکیده
منابع مشابه
On an Integral Inequality of Feng Qi
In this note, we study a general version of a problem posed by Feng Qi in [10] in the context of a measured space endowed with a positive finite measure. For other studies and results, one can consult the papers [2], [3], [5], [8], [9], [12], [13] and [14]. Our basic tool is the classical Hölder inequality. By the convexity method (see [3]) we give an interpretation of the lower bound occuring ...
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Recently Feng Qi has presented a sharp inequality between the sum of squares and the exponential of the sum of a nonnegative sequence. His result has been extended to more general power sums by Huan-Nan Shi, and, independently, by Yu Miao, Li-Min Liu, and Feng Qi. In this note we generalize those inequalitites by introducing weights and permitting more general functions. Inequalities in the opp...
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In the paper Several integral inequalities published in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19 (http://jipam.vu.edu.au/v1n2.html.001_00.html) and RGMIA Res. Rep. Coll. 2(7) (1999), Art. 9, 1039–1042 (http://rgmia.vu.edu.au/ v2n7.html) by F. Qi, an open problem was posed. In this article we give the solution and further generalizations of this problem. Reverse inequalities to the ...
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In a recent paper, Guo, Mező, and Qi proved an identity representing the Bernoulli polynomials at non-negative integer points m in terms of the m-Stirling numbers of the second kind. In this note, using a new representation of the Bernoulli polynomials in the context of the Zeon algebra, we give an alternative proof of the aforementioned identity.
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In this paper, we provide some Feng Qi type q-Integral Inequalities, by using analytic and elementary methods in Quantum Calculus.
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2020
ISSN: 1331-4343
DOI: 10.7153/mia-2020-23-05