Abstract
The paper discusses corrected Simpson-type inequalities on fractal sets. Based on an introduced identity, we establish some error bounds for the considered formula using the generalized s-convexity and s-concavity of the local fractional derivative. Finally, we present some graphical representations justifying the established theoretical framework as well as some applications.
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- A note on higher order Dirac operators in Clifford analysis
- Action of higher derivations on semiprime rings
- Demicompact linear operator. Essential pseudospectra and perturbation
- On the rotations and limit cycles of solutions to the basic system of equations
- On the criteria of a measure of non-strict cosingularity in the description of spectral properties of operator matrix
- A class of nontrivial simple examples of a non-D-space
- A study on Fibo-Pascal sequence spaces and associated matrix transformations and applications of Hausdorff measure of non-compactness
- A property of the free Gaussian distribution
- The influence of c-subnormality subgroups on the structure of finite groups
- Wave propagation on hexagonal lattices
- Timelike zero mean curvature surfaces in ℝ1 4
- A Mazurkiewicz set containing the graph of a Sierpiński–Zygmund function
- On corrected Simpson-type inequalities via local fractional integrals
- Sobolev regularity for a class of local fractional new maximal operators
- On the singular directions of a holomorphic mapping in P n(ℂ)
- On minimal surfaces in ℍ2 × ℝ space
- Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics
- Dunkl-type Segal–Bargmann transform and its applications to some partial differential equations
- On generalized derivations in factor rings
- Remarks on generalized derivations in factor rings
Articles in the same Issue
- Frontmatter
- A note on higher order Dirac operators in Clifford analysis
- Action of higher derivations on semiprime rings
- Demicompact linear operator. Essential pseudospectra and perturbation
- On the rotations and limit cycles of solutions to the basic system of equations
- On the criteria of a measure of non-strict cosingularity in the description of spectral properties of operator matrix
- A class of nontrivial simple examples of a non-D-space
- A study on Fibo-Pascal sequence spaces and associated matrix transformations and applications of Hausdorff measure of non-compactness
- A property of the free Gaussian distribution
- The influence of c-subnormality subgroups on the structure of finite groups
- Wave propagation on hexagonal lattices
- Timelike zero mean curvature surfaces in ℝ1 4
- A Mazurkiewicz set containing the graph of a Sierpiński–Zygmund function
- On corrected Simpson-type inequalities via local fractional integrals
- Sobolev regularity for a class of local fractional new maximal operators
- On the singular directions of a holomorphic mapping in P n(ℂ)
- On minimal surfaces in ℍ2 × ℝ space
- Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics
- Dunkl-type Segal–Bargmann transform and its applications to some partial differential equations
- On generalized derivations in factor rings
- Remarks on generalized derivations in factor rings