Some new Chebyshev type inequalities for functions whose derivatives belongs to \(L_p\) spaces

DOI10.1007/s13370-014-0312-5zbMath1329.26038OpenAlexW2051761534MaRDI QIDQ898037

Erhan Set, Ahmet Ocak Akdemir, Mehmet Zeki Sarikaya, Muhamet Emin Özdemir

Publication date: 8 December 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0312-5

zbMATH Keywords

\(L_p\) spacesHölder inequalityChebyshev type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)

Related Items (14)

On Some Inequalities of Differentiable Uniformly Convex Mapping with Applications ⋮ Chebyshev type inequalities involving extended generalized fractional integral operators ⋮ New extensions of Chebyshev-Pólya-Szegö type inequalities via conformable integrals ⋮ Some new Chebyshev type inequalities for fractional integral operator containing a further extension of Mittag-Leffler function in the kernel ⋮ Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya-Szegö inequality with applications ⋮ New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations ⋮ New generalized Pólya-Szegö and Čebyšev type inequalities with general kernel and measure ⋮ Chebyshev-type inequalities involving \((k, \psi)\)-proportional fractional integral operators ⋮ On new integral inequalities using mixed conformable fractional integrals ⋮ More new results on integral inequalities for generalized \(\mathcal{K}\)-fractional conformable integral operators ⋮ On Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integrals ⋮ Chebyshev type inequalities via generalized fractional conformable integrals ⋮ Conformable fractional integral inequalities of Chebyshev type ⋮ Some inequalities of Čebyšev type for conformable \(k\)-fractional integral operators

Cites Work

• Chebyshev inequality in function spaces
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
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