Some new bounds for Simpson's rule involving special functions via harmonic h-convexity

DOI10.22436/jnsa.010.04.37zbMath1412.26040OpenAlexW2607426767MaRDI QIDQ4631050

Marcela V. Mihai, Muhammad Aslam Noor, Muhammad Uzair Awan, Khalida Inayat Noor, Awais Gul Khan

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.37

zbMATH Keywords

boundsconvex functionsSimpson inequalityharmonicdifferentiable

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (10)

Harmonic beta-convex functions involving hypergeometric functions ⋮ Some new estimates for exponentially $(\hbar,\mathfrak{m})$-convex functions via extended generalized fractional integral operators ⋮ Estimates of bounds on the weighted Simpson type inequality and their applications ⋮ A variant of Jensen-type inequality and related results for harmonic convex functions ⋮ Properties and bounds of Jensen-type functionals via harmonic convex functions ⋮ Refined estimates and generalization of some recent results with applications ⋮ Simpson-type inequalities for geometrically relative convex functions ⋮ Harmonic Exponential Convex Functions and Inequalities ⋮ Approximately two-dimensional harmonic \((p_1,h_1)\)-\((p_2,h_2)\)-convex functions and related integral inequalities ⋮ On approximately harmonic h-convex functions depending on a given function

Cites Work

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• Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions
• Integral inequalities for coordinated Harmonically convex functions
• Hermite-Hadamard type inequalities for harmonically convex functions
• Generalized fractional Hermite-Hadamard inequalities for twice differentiable s-convex functions

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