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Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators
Advances in Mathematical PhysicsMSC2020 Classification: 26A09, 26D10, 26D15 ...
Hasan Öğünmez, Mehmet Zeki Sarikaya
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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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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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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
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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
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Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities
Cumhuriyet Science Journal, 2017 In this paper, weobtain some new weighted Ostrowski-Grüss type inequalities on time scales. Wealso give some other interesting inequalities as special cases.2010 MathematicsSubject Classifications : 26D15; 26E70.
Adnan Tuna
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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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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.
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A Stochastic Gronwall Lemma [PDF]
, 2013 We prove a stochastic Gronwall lemma of the following type: if $Z$ is an adapted nonnegative continuous process which satisfies a linear integral inequality with an added continuous local martingale $M$ and a process $H$ on the right hand side, then for ...
Scheutzow, Michael
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
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