A new improvement of Hölder inequality via isotonic linear functionals [PDF]
AIMS Mathematics, 2020 In this paper, a new improvement of celebrated Hölder inequality using isotonic linear functionals is established. An important feature of the new inequality obtained here is that many existing inequalities related to the Hölder inequality can be ...
İmdat İşcan
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Triple Diamond-Alpha integral and Hölder-type inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
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Conjugate functions, L^{p}-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity [PDF]
Opuscula Mathematica, 2014 For \(h:(0,\infty )\rightarrow \mathbb{R}\), the function \(h^{\ast }\left( t\right) :=th(\frac{1}{t})\) is called \((\ast)\)-conjugate to \(h\). This conjugacy is related to the Hölder and Minkowski inequalities.
Janusz Matkowski
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Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]
HeliyonConvexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman +4 more
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A Hölder-type inequality for the Hausdorff distance between Lagrangians. [PDF]
J Fixed Point Theory ApplChassé JP, Leclercq R.
europepmc +2 more sources
Some (p, q)-Hardy type inequalities for (p, q)-integrable functions
AIMS Mathematics, 2021 In this paper, we study some $(p,q)$-Hardy type inequalities for $(p,q)$-integrable functions. Moreover, we also study $(p,q)$-Hölder integral inequality and $(p,q)$-Minkowski integral inequality for two variables.
Suriyakamol Thongjob +2 more
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Inequalities in Riemann–Lebesgue Integrability
Mathematics, 2023 In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when the considered integration is obtained via a non-additive measure, including the reverse Hölder inequality and the reverse Minkowski inequality.
Anca Croitoru +3 more
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A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality
Axioms, 2023 For all convex functions, the Hermite–Hadamard inequality is already well known in convex analysis. In this regard, Hermite–Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work.
Çetin Yildiz +2 more
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Some new inequalities for (α,m1,m2 )-GA convex functions
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
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Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
Khoirunisa Khoirunisa +2 more
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