Zobrazeno 1 - 10
of 320
pro vyhledávání: '"Lars-Erik Persson"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)
Abstract The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar measure d x / x $dx/x$ . The
Externí odkaz:
https://doaj.org/article/e6249266622b46e9be5addda4838e217
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Abstract We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlu
Externí odkaz:
https://doaj.org/article/99dd524fee6b445f8eae68b0e2b7d701
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-13 (2023)
Abstract We investigate the subsequence { t 2 n f } $\{t_{2^{n}}f \}$ of Nörlund means with respect to the Walsh system generated by nonincreasing and convex sequences. In particular, we prove that a large class of such summability methods are not b
Externí odkaz:
https://doaj.org/article/442c064550af42de9ccd72f175295184
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-15 (2023)
Abstract We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0< p
Externí odkaz:
https://doaj.org/article/dfd6f0d2485043f3a04cc8eec02975c4
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-15 (2022)
Abstract Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation.
Externí odkaz:
https://doaj.org/article/137c377532dd4d2987ffb3cb81ac73a7
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-15 (2022)
Abstract In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and Popoviciu type inequalities.
Externí odkaz:
https://doaj.org/article/54171a6024b14a1dafd84cdf9c112109
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-13 (2022)
Abstract We prove that there exists a martingale f ∈ H p $f\in H_{p} $ such that the subsequence { L 2 n f } $\{L_{2^{n}}f \}$ of Nörlund logarithmic means with respect to the Walsh system are not bounded from the martingale Hardy spaces H p $H_{p
Externí odkaz:
https://doaj.org/article/e967e1fb2b55474aa545f6c62494194f
Publikováno v:
Abstract and Applied Analysis, Vol 2023 (2023)
In this paper, we explore a generalised solution of the Cauchy problems for the q-heat and q-wave equations which are generated by Jackson’s and the q-Sturm-Liouville operators with respect to t and x, respectively. For this, we use a new method, w
Externí odkaz:
https://doaj.org/article/91a1bb82623147c1815fa262e16ebc32
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-14 (2018)
Abstract The first power weighted version of Hardy’s inequality can be rewritten as ∫0∞(xα−1∫0x1tαf(t)dt)pdx≤[pp−α−1]p∫0∞fp(x)dx,f≥0,p≥1,α
Externí odkaz:
https://doaj.org/article/9c462545e97b4059b4aa379b61b47074
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-16 (2017)
Abstract Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation). The main aim
Externí odkaz:
https://doaj.org/article/f28fb79a4e204080bc7d12786009ee0f