Results 21 to 30 of about 320 (142)
A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications
Journal of Function Spaces, 2022 In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Zaid Mohammed Mohammed Mahdi Sayed +3 more
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Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function SpacesIn this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
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Some Opial type inequalities in (p, q)-calculus
AIMS Mathematics, 2020 In this paper, we establish 5 kinds of integral Opial-type inequalities in (p, q)-calculus by means of Hölder’s inequality, Cauchy inequality, an elementary inequality and some analysis technique.
Chunhong Li, Dandan Yang, Chuanzhi Bai
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Jessen's functional, its properties and applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda +2 more
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On Hardy-Hilbert-type inequalities with α-fractional derivatives
AIMS Mathematics, 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.
Marwa M. Ahmed +4 more
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Gamma-Nabla Hardy–Hilbert-Type Inequalities on Time Scales
Axioms, 2023 We investigated several novel conformable fractional gamma-nabla dynamic Hardy–Hilbert inequalities on time scales in this study. Several continuous inequalities and their corresponding discrete analogues in the literature are combined and expanded by ...
Barakah Almarri, Ahmed A. El-Deeb
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Hilbert-type inequalities for time scale nabla calculus
Advances in Difference Equations, 2020 This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Hölder’s inequality, and Jensen’s time scale inequality.
H. M. Rezk +5 more
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Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
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Hölder’s inequality for shifted quantum integral operator
Examples and CounterexamplesWe show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.
Andrea Aglić Aljinović +2 more
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A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions
International Journal of Mathematics and Mathematical SciencesWe provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah, Edward Prempeh
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