Results 81 to 90 of about 1,946 (136)
The natural approach of Wilker-Cusa-Huygens inequalities
, 2011 The aim of this paper is to provide a natural approach of Wilker-Cusa-Huygens inequalities. This new approach permits us to give new proofs then to refine much these inequalities and we are convinced that it is suitable to establish many other similar ...
C. Mortici
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, 2020 In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k− type fractional integral operator Rω [ f ](t) , which is introduced here by using the ω -weighted classes.
P. Agarwal, J. Restrepo
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Some new nonlinear retarded sum-difference inequalities with applications
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
doaj
On the Boas-Bellman Inequality in Inner Product Spaces [PDF]
arXiv, 2003 New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.
arxiv
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, the notion of generalized (s; m; ξ)-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized (s; m; ξ)-preinvex functions along with beta ...
Kashuri Artion, Liko Rozana
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On the Bombieri Inequality in Inner Product Spaces [PDF]
arXiv, 2003 New results related to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
arxiv
On discrete inequalities for some classes of sequences
Open MathematicsFor a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i},\hspace{-0 ...
Jleli Mohamed, Samet Bessem
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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On Some Gronwall Type Inequalities Involving Iterated Integrals [PDF]
arXiv, 2003 In this paper, some new Gronwall type inequalities involving iterated integrals are given.
arxiv
Properties of generalized sharp Hölder's inequalities
, 2017 Hölder’s inequality and its various refinements are playing very important in mathematical analysis. In this paper, we give some new properties of generalized sharp Hölder’s inequalities. Mathematics subject classification (2010): 26D15, 26D10.
Jing-feng Tian, M. Ha
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