New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions
DOI10.1186/s13660-020-02393-xzbMath1503.26024OpenAlexW3032034118MaRDI QIDQ2069423
Sabah Iftikhar, Yu-Ming Chu, Nousheen Akhtar, Muhammad Uzair Awan, Muhammad Aslam Noor
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-02393-x
Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities for trigonometric functions and polynomials (26D05) Elliptic functions and integrals (33E05)
Related Items (49)
Cites Work
- Unnamed Item
- Stress field around a strike-slip fault in orthotropic elastic layers via a hypersingular integral equation
- Optimal combinations bounds of root-square and arithmetic means for Toader mean
- A new analysis of electrostatic free energy minimization and Poisson-Boltzmann equation for protein in ionic solvent
- Fast numerical valuation of options with jump under Merton's model
- Inequalities for \(\alpha\)-fractional differentiable functions
- Comments on a new class of nonlinear conjugate gradient coefficients with global convergence properties
- Sharp integral inequalities of the Hermite-Hadamard type
- Integral inequalities involving strongly convex functions
- Hermite-Hadamard type inequalities for fractional integrals via Green's function
- Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
- A PRP-based residual method for large-scale monotone nonlinear equations
- Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals
- Dynamics of a class of delayed reaction-diffusion systems with Neumann boundary condition
- Observer-based mixed passive and \(H_\infty\) control for uncertain Markovian jump systems with time delays using quantized measurements
- On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations
- Data driven confidence intervals for diffusion process using double smoothing empirical likelihood
- Multiple solutions of ordinary differential systems with min-max terms and applications to the fuzzy differential equations
- The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
- Reliable filter design for discrete-time neural networks with Markovian jumping parameters and time-varying delay
- Trigonometric transform splitting methods for real symmetric Toeplitz systems
- The general inner-outer iteration method based on regular splittings for the PageRank problem
- Periodic attractor for reaction-diffusion high-order Hopfield neural networks with time-varying delays
- Quantum Hermite-Hadamard inequality by means of a Green function
- On Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integrals
- Discrete majorization type inequalities for convex functions on rectangles
- Schur \(m\)-power convexity of generalized geometric Bonferroni mean involving three parameters
- Majorization theorems for strongly convex functions
- Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
- Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
- Optimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang mean
- A note on generalized convex functions
- Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
- On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral
- Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function
- New weighted generalizations for differentiable exponentially convex mapping with application
- On \(n\)-polynomial convexity and some related inequalities
- Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
- Delay dynamic double integral inequalities on time scales with applications
- Monotonicity, convexity and inequalities involving the generalized elliptic integrals
- Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- New converses of Jensen inequality via Green functions with applications
- Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type
- Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means
- Approximation for the complete elliptic integral of the first kind
- Petrović-type inequalities for harmonic \(h\)-convex functions
- Some new Hermite-Hadamard-type inequalities associated with conformable fractional integrals and their applications
- Integral majorization type inequalities for the functions in the sense of strong convexity
- The concept of coordinate strongly convex functions and related inequalities
- Sharp power mean bounds for two Sándor-Yang means
- Precise estimates for the solution of Ramanujan's generalized modular equation
- Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals
- Generalized Lyapunov-Razumikhin method for retarded differential inclusions: applications to discontinuous neural networks
- Weighted inequalities for a general commutator associated to a singular integral operator satisfying a variant of Hörmander's condition
- Heron triangles with figurate number sides
- Symplecticity-preserving continuous-stage Runge-Kutta-Nyström methods
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions
- Conformable integral inequalities of the Hermite-Hadamard type in terms of GG- and GA-convexities
- Plasmon resonance and heat generation in nanostructures
- Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
- Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting
- Notes on the complete elliptic integral of the first kind
- Inequalities for generalized trigonometric and hyperbolic functions with one parameter
- Converses of the Jensen inequality derived from the Green functions with applications in information theory
- Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means
- Monotonicity and inequalities involving zero-balanced hypergeometric function
- On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance
- Boundedness of multilinear singular integral operator with non-smooth kernels and mean oscillation
- Hermite-Hadamard type inequalities for harmonically convex functions
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