Majorization theorems for strongly convex functions

DOI10.1186/s13660-019-2007-9zbMath1499.26207OpenAlexW2931532887WikidataQ128264192 ScholiaQ128264192MaRDI QIDQ2067774

Muhammad Adil Khan, Yu-Ming Chu, Syed Zaheer Ullah

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2007-9

zbMATH Keywords

convexitymajorization theoremstrongly convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

Related Items (32)

A sharp double inequality involving generalized complete elliptic integral of the first kind ⋮ Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions ⋮ Conformable integral version of Hermite-Hadamard-Fejér inequalities via \(\eta\)-convex functions ⋮ Completely monotonic integer degrees for a class of special functions ⋮ New weighted generalizations for differentiable exponentially convex mapping with application ⋮ 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 ⋮ R-convexity in R-vector spaces ⋮ Refinements of Jensen's inequality via majorization results with applications in the information theory ⋮ Some new inequalities involving \(\kappa \)-fractional integral for certain classes of functions and their applications ⋮ Notes on the complete elliptic integral of the first kind ⋮ Inequalities for generalized trigonometric and hyperbolic functions with one parameter ⋮ Asymptotic expansion and bounds for complete elliptic integrals ⋮ Sharp rational bounds for the gamma function ⋮ Coordinate strongly s-convex functions and related results ⋮ A necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder mean ⋮ Inequalities for estimations of integrals related to higher-order strongly \(n\)-polynomial preinvex functions ⋮ Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means ⋮ Sharp bounds for Sándor-Yang means in terms of one-parameter family of bivariate means ⋮ Inequalities involving conformable approach for exponentially convex functions and their applications ⋮ 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 ⋮ Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence ⋮ A note on generalized convex functions ⋮ Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications ⋮ New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions ⋮ Hermite-Hadamard-type inequalities involving \(\psi\)-Riemann-Liouville fractional integrals via \(s\)-convex functions ⋮ A new Hermite-Hadamard type inequality for coordinate convex function ⋮ On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals ⋮ On post quantum integral inequalities ⋮ On new fractional integral inequalities for \(p\)-convexity within interval-valued functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimal double inequality between geometric and identric means
• Bounds for the perimeter of an ellipse
• Bounds for complete elliptic integrals of the second kind with applications
• A power mean inequality involving the complete elliptic integrals
• Inequalities for \(\alpha\)-fractional differentiable functions
• Monotonicity rule for the quotient of two functions and its application
• Remarks on strongly convex functions
• Generalized Hersch-Pfluger distortion function and complete elliptic integrals
• The Schur convexity of Gini mean values in the sense of harmonic mean
• Monotonicity, convexity, and inequalities involving the Agard distortion function
• Convexity of the complete elliptic integrals of the first kind with respect to Hölder means
• Asymptotical formulas for Gaussian and generalized hypergeometric functions
• The Schur harmonic convexity for a class of symmetric functions
• The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications
• Ostrowski type inequalities involving conformable fractional integrals
• Optimal bounds for the generalized Euler-Mascheroni constant
• Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means
• Hermite-Hadamard type inequalities for fractional integrals via Green's function
• Quadratic transformation inequalities for Gaussian hypergeometric function
• On \(h\)-convexity
• Schur-convexity for a class of symmetric functions and its applications
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• On Schur convexity of some symmetric functions
• Schur convexity for a class of symmetric functions
• Convexity of the integral arithmetic mean of a convex function
• Convexity with respect to Hölder mean involving zero-balanced hypergeometric functions
• The Schur harmonic convexity of the Hamy symmetric function and its applications
• Solution of an open problem for Schur convexity or concavity of the Gini mean values
• Convex functions, partial orderings, and statistical applications
• On new majorization theorems
• Inequalities and infinite product formula for Ramanujan generalized modular equation function
• Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
• Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals
• Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
• Some new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applications
• Around Jensen's inequality for strongly convex functions
• On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
• Refinements of transformation inequalities for zero-balanced hypergeometric functions
• Optimal Lehmer mean bounds for the Toader mean
• Asymptotical bounds for complete elliptic integrals of the second kind
• Bounds of the Neuman-Sándor mean using power and identric means
• High accuracy asymptotic bounds for the complete elliptic integral of the second kind
• Discrete majorization type inequalities for convex functions on rectangles
• On approximating the quasi-arithmetic mean
• Sharp power mean bounds for two Sándor-Yang means
• Monotonicity criterion for the quotient of power series with applications
• On rational bounds for the gamma function
• On approximating the Toader mean by other bivariate means
• 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
• Sharp Landen transformation inequalities for hypergeometric functions, with applications
• Sulle stratificazioni convesse
• Concavity of the error function with respect to Hölder means
• Sharp bounds for the Toader-Qi mean in terms of harmonic and geometric means
• Schur convexity and Hadamard's inequality
• Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications
• Convexity and Optimization in Banach Spaces
• A power mean inequality for the Grötzsch ring function
• Hölder mean inequalities for the complete elliptic integrals
• The Schur multiplicative and harmonic convexities of the complete symmetric function
• Refinements of bounds for Neuman means with applications
• Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
• A monotonicity property involving the generalized elliptic integral of the first kind
• Sharp Gautschi inequality for parameter 0<p<1 with applications
• On approximating the error function
• Landen inequalities for a class of hypergeometric functions with applications
• Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
• Some majorisation type discrete inequalities for convex functions
• Refinements of some majorization type inequalities
• On strong delta-convexity and Hermite-Hadamard type inequalities for delta-convex functions of higher order
• Optimal inequalities for the convex combination of error function
• Sharp bounds for Toader mean in terms of contraharmonic mean with applications
• Pseudo-Convex Functions
• Approximately Convex Functions
• Monotonicity properties and bounds for the complete \(p\)-elliptic integrals
• Inequalities: theory of majorization and its applications
• Convex functions and their applications. A contemporary approach

This page was built for publication: Majorization theorems for strongly convex functions