Results 11 to 20 of about 1,290 (131)
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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LOWER BOUNDS ON LP QUASI‐NORMS AND THE UNIFORM SUBLEVEL SET PROBLEM
Mathematika, Volume 67, Issue 2, Page 296-323, April 2021., 2021 Abstract Recently, Steinerberger (Potential Analysis, 2020) proved a uniform inequality for the Laplacian serving as a counterpoint to the standard uniform sublevel set inequality which is known to fail for the Laplacian. In this paper, we observe that many inequalities of this type follow from a uniform lower bound on the L1 norm, and give an ...
John Green
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Some new inequalities involving the Hardy operator
Mathematische Nachrichten, Volume 293, Issue 2, Page 376-385, February 2020., 2020 Abstract In this paper we derive some new inequalities involving the Hardy operator, using some estimates of the Jensen functional, continuous form generalization of the Bellman inequality and a Banach space variant of it. Some results are generalized to the case of Banach lattices on (0,b],0
Ludmila Nikolova +2 more
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Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Open Mathematics, 2016 Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and
Baleanu Dumitru +2 more
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Nonautonomous Dynamical Systems, 2018 By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented.
Negi Shekhar Singh +2 more
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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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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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Summability of a Tchebysheff system of functions
Journal of Function Spaces, Volume 8, Issue 1, Page 87-102, 2010., 2010 We consider a special type of Tchebysheff systems of functions {ui(⋅)}in=0 and {Vi(⋅)}in=0 defined on the intervals (0, 1] and [1,+∞), respectively, such that ui(t)=tα0∫t1t1α1∫t11t2α2…∫ti−11tiαidtidti−1…dt1 and ui(t)=tβ0∫1tt1β1∫1t1t2β2…∫1ti−1tiβidtidti−1…dt1.
Z. T. Abdikalikova +2 more
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An equivalent form of Young's inequality with upper bound
, 2008 Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
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Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]
, 2006 Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S
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