Some new nonlinear retarded sum-difference inequalities with applications [PDF]
Advances in Difference Equations, 2011 The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
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Some means inequalities for positive operators in Hilbert spaces. [PDF]
J Inequal Appl, 2017 In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of Heinz operator inequalities.
Liang J, Shi G.
europepmc +3 more sources
New version of generalized Ostrowski-Gruss type inequality [PDF]
, 2021 Ostrowski inequality is one of the celebrated inequalities in Mathematics. The main purpose of our study is to generalize the result of Ostrowski-Gru¨ss type inequality for first differentiable mappings and apply it to probability density functions ...
BILAL, Muhammad +2 more
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Generalization of weighted Ostrowski Gruss type inequality by using Korkine’s identity [PDF]
, 2020 We obtain generalized weighted Ostrowski-Grüss type inequality with parameters for differentiable functions by using the weighted Korkine’s identity, and we then apply these obtained inequalities to probability density functions.
KHAN, Asif R. +5 more
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Positivity of sums and integrals for n-convex functions via the Fink identity and new Green functions [PDF]
, 2021 We consider positivity of sum $\sum_{i=1}^np_if(x_i)$ involving convex functions of higher order. Analogous for integral $\int_a^bp(x)f(g(x))dx$ is also given.
KHAN, Asif R., PEˇČARI´Ć, Josip
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Some inequalities of the Turán type for confluent hypergeometric functions of the second kind [PDF]
, 2019 In the paper, by virtue of the H¨older integral inequality, the authors derive some inequalities of the Turán type for confluent hypergeometric functions of the second kind, for the Mellin transforms, and for the Laplace transforms, and improve some ...
QI, Feng
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Spectral inequalities involving the sums and products of functions
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 141-157, 1982., 1980 In this paper, the notation ≺ and ≺≺ denote the Hardy‐Littlewood‐Pólya spectral order relations for measurable functions defined on a fnite measure space (X, Λ, μ) with μ(X) = a, and expressions of the form f≺g and f≺≺g are called spectral inequalities. If f, g ∈ L1(X, Λ, μ), it is proven that, for some b ≥ 0, log[b+(δfιg)+]≺≺log[b+(fg)+]≺≺log[b+(δfδg)+
Kong-Ming Chong
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New inequalities from classical Sturm theorems [PDF]
, 2004 23 pages, no figures.-- MSC2000 codes: Primary: 33C45; Secondary: 26D20, 34C10.MR#: MR2106538 (2006c:33007)Inequalities satisfied by the zeros of the solutions of second-order hypergeometric equations are derived through a systematic use of Liouville ...
Deaño Cabrera, Alfredo +3 more
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Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation [PDF]
, 2007 19 pages, 2 figures.-- MSC2000 codes: 33C45; 34C10; 26D20.MR#: MR2356577 (2010c:33008)Zbl#: Zbl 1145.33002Liouville-Green transformations of the Gauss hypergeometric equation with changes of variable $$z(x)=\int\sp xt\sp {p-1}(1-t)\sp {q-1}dt$$ are ...
Deaño Cabrera, Alfredo +2 more
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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
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