NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS

DOI10.1142/S0218348X20500371zbMath1434.26052OpenAlexW2995028956WikidataQ126588446 ScholiaQ126588446MaRDI QIDQ5112676

Samet Erden, Poom Kumam, Sabah Iftikhar

Publication date: 4 June 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500371

zbMATH Keywords

generalized convex functionslocal fractional integralsNewton inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (21)

PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions ⋮ ON A CLASS OF FRACTIONAL HARDY-TYPE INEQUALITIES ⋮ Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals ⋮ Some local fractional Maclaurin type inequalities for generalized convex functions and their applications ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED m-CONVEX MAPPING ⋮ 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 ⋮ Unnamed Item ⋮ Generalizations of some integral inequalities related to Hardy type integral inequalities via \((p,q)\)-calculus ⋮ Local fractional Newton's inequalities involving generalized harmonic convex functions ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES ⋮ NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS ⋮ Certain error bounds on the parameterized integral inequalities in the sense of fractal sets ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On new inequalities of Simpson's type for \(s\)-convex functions
• Generalized convex functions on fractal sets and two related inequalities
• Analysis of fractal wave equations by local fractional Fourier series method
• Generalizations of Hölder's and some related integral inequalities on fractal space
• Generalized Ostrowski type inequalities for local fractional integrals
• NEWTON INEQUALITIES FOR p-HARMONIC CONVEX FUNCTIONS
• On new inequalities of Simpson's type for generalized convex functions
• Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities

This page was built for publication: NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS