Zobrazeno 1 - 10
of 202
pro vyhledávání: '"steffensen's inequality"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 22097-22111 (2023)
In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We sha
Externí odkaz:
https://doaj.org/article/db3e8118c8174384a8c5bef20bd389eb
Publikováno v:
AIMS Mathematics, Vol 7, Iss 8, Pp 14099-14116 (2022)
In this work, we prove several new (γ,a)-nabla Bennett and Leindler dynamic inequalities on time scales. The results proved here generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corre
Externí odkaz:
https://doaj.org/article/20237017df304ae3b7c73cd16dc04919
Publikováno v:
AIMS Mathematics, Vol 7, Iss 3, Pp 4326-4337 (2022)
Our work is based on the multiple inequalities illustrated by Josip Pečarić in 2013, 1982 and Srivastava in 2017. With the help of a positive σ-finite measure, we generalize a number of those inequalities to a general time scale measure space. Bes
Externí odkaz:
https://doaj.org/article/1a2712172dc54b47b739ecdaf539e6af
Publikováno v:
Mathematics, Vol 11, Iss 16, p 3570 (2023)
New Steffensen-type inequalities are obtained by combining generalized Taylor expansions, Rabier and Pečarić extensions of Steffensen’s inequality and Faà di Bruno’s formula for higher order derivatives of the composition.
Externí odkaz:
https://doaj.org/article/c1b10f1e37c5424d95bf4fe7c999bfaa
Akademický článek
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Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-23 (2019)
Abstract By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality. Under the assumptions of n-convexity and n-concavity many inequalities, which ge
Externí odkaz:
https://doaj.org/article/3d771a022aea462f855355487bad69df
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 27, Iss 2, Pp 121-137 (2019)
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, us
Externí odkaz:
https://doaj.org/article/ee5510da19fe44d2a2930ef8eea024bc
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-14 (2019)
Abstract We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond-α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These inequalities expand some kno
Externí odkaz:
https://doaj.org/article/0b4bf34b5fec485c838bd0f8ed720bd1
Publikováno v:
Mathematics, Vol 10, Iss 9, p 1505 (2022)
In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for (n+2)−convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.
Externí odkaz:
https://doaj.org/article/2e03a591c3c649f0bfbfd2404d14c1fa
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-15 (2018)
Abstract In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained. F
Externí odkaz:
https://doaj.org/article/d3ae317271724eccb2f1437e3f11a880