Results 1 to 10 of about 2,031 (186)
Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
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From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
wiley +1 more source
Refinements of Bennett type inequalities
Mathematical Inequalities & Applications, 2023 . In this paper we discuss, complement and improve some Bennett type inequalities.In particular, we prove a new re fi nement of a Bennett type inequality using superquadracity argu-ment. Mathematics subject classi fi cation (2020): 26D10, 26D15.
J. Oguntuase, L. Persson, E. Adeleke
semanticscholar +1 more source
Schur Convexity of Complementary Geometric Mean
Tuijin Jishu/Journal of Propulsion Technology, 2023 In this paper, the generalized forms of complementary geometric mean are introduced. Further, studied the various properties like homogeneous, isotone and convexity.Also, discussed theoscillatory mean involving complementary geometric and arithmetic ...
E. D. G. N. K. M. N. R. Sampath Kumar
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Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
Moroccan Journal of Pure and Applied Analysis, 2021 This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
doaj +1 more source
Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions
Annales Mathematicae Silesianae, 2020 Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.
Nikodem Kazimierz, Rajba Teresa
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Acta Universitatis Sapientiae: Mathematica, 2020 In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well.
Dragomir Silvestru Sever
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On post quantum integral inequalities
Journal of Mathematical Inequalities, 2021 In the article, we provide some new post quantum refinements of the Hermite-Hadamard like inequalities involving the class of h -preinvex functions by establishing a new auxiliary result involving the post quantum differentiable function.
M. U. Awan +4 more
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On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
Open Mathematics, 2021 The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint ...
Ali Muhammad Aamir +4 more
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Some mixed weak type inequalities
Journal of Mathematical Inequalities, 2021 . We study mixed weak type (1,1) weighted inequalities for the Hardy averaging opera- tor, T . This type of have the where C is independent of f and c . We improve the results in [Q. J. Math. 60 (2009), no.
M. Lorente, F. J. Martín-Reyes
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