Results 21 to 30 of about 326 (116)
Hermite-Hadamard inequalities for uniformly convex functions and its applications in means
Miskolc Mathematical Notes, 2020 In this paper, we prove Hermite-Hadamard inequality for uniformly convex, uniformly s-convex functions. Also, we obtain Hermite Hadamard inequality for fractional integral by using these functions.
H. Barsam, A. Sattarzadeh
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On boundedness and compactness of a certain class of kernel operators
Journal of Function Spaces, Volume 9, Issue 1, Page 67-107, 2011., 2011 New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
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On Bellman‐Golubov theorems for the Riemann‐Liouville operators
Journal of Function Spaces, Volume 7, Issue 3, Page 289-300, 2009., 2009 Superposition of Fourier transform with the Riemann ‐ Liouville operators is studied.
Pham Tien Zung, Victor Burenkov
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Are There Any Natural Physical Interpretations for Some Elementary Inequalities?
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
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On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals
, 2017 In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
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Generalizations of Hölder′s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 1, Page 7-10, 2001., 2001 Some generalized Hölder′s inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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Ostrowski type fractional integral inequalities for MT-convex functions
, 2015 Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
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A new generalized refinement of the weighted arithmetic-geometric mean inequality
, 2020 In this paper, we prove that for i = 1,2, . . . ,n , ai 0 and αi > 0 satisfy ∑i=1 αi = 1 , then for m = 1,2,3, . . . , we have ( n ∏ i=1 ai i )m + rm 0 ( n ∑ i=1 ai −n n √ n ∏ i=1 ai ) ( n ∑ i=1 αiai )m where r0 = min{αi : i = 1, . . . ,n} .
M. Ighachane, M. Akkouchi, E. Benabdi
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Sharp Gautschi inequality for parameter 0
, 2017 In the article, we present the best possible parameters a,b on the interval (0,∞) such that the Gautschi double inequality [(xp +a) − x]/a < ex ∫ ∞ x e−t p dt < [(xp +b) − x]/b holds for all x > 0 and p ∈ (0,1) .
Zhen-Hang Yang, E. Zhang, Y. Chu
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