On new generalized unified bounds via generalized exponentially harmonically \(s\)-convex functions on fractal sets
DOI10.1186/s13662-021-03380-2zbMath1494.26039OpenAlexW3164562742MaRDI QIDQ2166942
Humaira Kalsoom, Aasma Khalid, Saima Rashid, Yu-Ming Chu, Thabet Abdeljawad
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03380-2
fractal setsexponentially convex functionOstrowski-type inequalityharmonically convex functionexponentially harmonically \(s\)-convex functionHermite-Hadamard-Fejér-type inequalityPachpatte-type inequality
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Fractals (28A80) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)
Related Items (7)
Cites Work
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- Notions of generalized \(s\)-convex functions on fractal sets
- Ostrowski type inequalities for functions whose derivatives are \(h\)-convex in absolute value
- New inequalities for local fractional integrals
- On some inequalities of Hermite-Hadamard type via \(m\)-convexity
- Some remarks on \(s\)-convex functions
- Some generalized Hermite-Hadamard type integral inequalities for generalized \(s\)-convex functions on fractal sets
- Generalized convex functions on fractal sets and two related inequalities
- Some further generalizations of Hölder's inequality and related results on fractal space
- Hermite-Hadamard-type inequalities for generalized \(s\)-convex functions on real linear fractal set \(\mathbb {R}^{\alpha }\) (\(0<\alpha <1\))
- New refinements of the Hadamard inequality on coordinated convex function
- Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
- On new fractional integral inequalities for \(p\)-convexity within interval-valued functions
- Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications
- Some new Simpson-type inequalities for generalized \(p\)-convex function on fractal sets with applications
- Analysis of fractal wave equations by local fractional Fourier series method
- On generalized fractional integral inequalities for twice differentiable convex functions
- Fejér and Hermite-Hadamard type inequalities for harmonically convex functions
- Hermite-Hadamard type inequalities for the generalized \(k\)-fractional integral operators
- Ostrowski type inequalities for harmonically s-convex functions
- Generalized Ostrowski type inequalities for local fractional integrals
- New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
- OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES SATISFY CERTAIN CONVEXITY ASSUMPTIONS
- Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
- CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS
- On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals
- Hermite-Hadamard type inequalities for harmonically convex functions
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