Some Newton's like inequalities with applications

DOI10.1007/s13398-020-00926-zzbMath1451.26026OpenAlexW3082509149MaRDI QIDQ2006211

Muhammad Uzair Awan, Poom Kumam, Sabah Iftikhar, Samet Erden

Publication date: 8 October 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00926-z

zbMATH Keywords

Hermite-Hadamard-type inequalityarithmetically-harmonically convex functionintegral inequality of Newton typeSimpson's second-type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Conformable fractional Newton-type inequalities with respect to differentiable convex functions ⋮ Some perturbed Newton type inequalities for Riemann-Liouville fractional integrals ⋮ A new version of Newton's inequalities for Riemann-Liouville fractional integrals ⋮ Maclaurin-type inequalities for Riemann-Liouville fractional integrals ⋮ Fractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functions ⋮ On multiplicative Hermite-Hadamard- and Newton-type inequalities for multiplicatively \((P, m)\)-convex functions ⋮ Generalizations of some integral inequalities related to Hardy type integral inequalities via \((p,q)\)-calculus ⋮ NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES ⋮ LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS ⋮ ON A GENERALIZATION OF STRONGLY η-CONVEX FUNCTIONS VIA FRACTAL SETS

Cites Work

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• Certain Hermite-Hadamard type inequalities involving generalized fractional integral operators
• On Simpson's inequality and applications
• Two dimensional extensions of Hermite-Hadamard's inequalities via preinvex functions
• Some Hermite-Hadamard type inequalities in the class of hyperbolic \(p\)-convex functions
• NEWTON INEQUALITIES FOR p-HARMONIC CONVEX FUNCTIONS
• Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula

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