Abstract
In this paper, we have derived certain classical inequalities, namely Young’s, Hölder’s, Minkowski’s and the Hermite–Hadamard inequalities for a pseudo-integral (also known as g-integral). For Young’s, Hölder’s and Minkowski’s inequalities, the cases
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Spectral description of Fredholm operators via polynomially Riesz operators perturbation
- On the estimation of the Bernoulli regression function using Bernstein polynomials for group observations
- Mazurkiewicz sets with no well-ordering of the reals
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- On the generalization of the Janashia–Lagvilava method for arbitrary fields
- On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media
- Classical inequalities for pseudo-integral
- The boundary value problem for one class of higher-order nonlinear partial differential equations
- On 𝑆-weakly prime ideals of commutative rings
- Necessary and sufficient conditions of optimality for second order discrete and differential inequalities
- Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution
- On 𝑇1- and 𝑇2-productable compact spaces
- On a Riemann--Hilbert boundary value problem for (ϕ,ψ)-harmonic functions in ℝ m
- On an equation by primes with one Linnik prime
- Differentiable functions and their Fourier coefficients
Articles in the same Issue
- Frontmatter
- Spectral description of Fredholm operators via polynomially Riesz operators perturbation
- On the estimation of the Bernoulli regression function using Bernstein polynomials for group observations
- Mazurkiewicz sets with no well-ordering of the reals
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- On the generalization of the Janashia–Lagvilava method for arbitrary fields
- On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media
- Classical inequalities for pseudo-integral
- The boundary value problem for one class of higher-order nonlinear partial differential equations
- On 𝑆-weakly prime ideals of commutative rings
- Necessary and sufficient conditions of optimality for second order discrete and differential inequalities
- Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution
- On 𝑇1- and 𝑇2-productable compact spaces
- On a Riemann--Hilbert boundary value problem for (ϕ,ψ)-harmonic functions in ℝ m
- On an equation by primes with one Linnik prime
- Differentiable functions and their Fourier coefficients