Integral inequalities in \(q\)-calculus
From MaRDI portal
Publication:1433109
DOI10.1016/S0898-1221(04)90025-9zbMath1041.05006MaRDI QIDQ1433109
Publication date: 15 June 2004
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
\(q\)-derivative\(q\)-integralChebyshev's inequalitiesHermite-Hadamard's inequalitiesGrüss' inequalitiesIyengar's inequalitiesSteffensen's inequalities
(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13)
Related Items
Estimates of quantum bounds pertaining to new \(q\)-integral identity with applications, \(Iq\)-calculus and \(Iq\)-Hermite-Hadamard inequalities for interval-valued functions, On some new trapezoidal inequalities for \(q^{\varkappa_2}\)-quantum integrals via Green function, Post-quantum trapezoid type inequalities, Some \((p,q)\)-Hardy type inequalities for \((p,q)\)-integrable functions, On \(q\)-steepest descent method for unconstrained multiobjective optimization problems, Unified integral inequalities comprising pathway operators, Post-quantum Ostrowski type integral inequalities for twice (p,q)-differentiable functions, Bernstein-Schurer-Kantorovich operators based on \(q\)-integers, New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions, Quantum Hermite-Hadamard type inequalities for generalized strongly preinvex functions, Some inequalities for the \(q\)-beta and the \(q\)-gamma functions via some \(q\)-integral inequalities, New integral inequalities involving \(m\)-convex functions in \((p, q)\)-calculus, New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus, Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional, Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus, The inequalities for some types of \(q\)-integrals, Certain inequalities for fractional \((p,q)\)-calculus, A new generalization of some quantum integral inequalities for quantum differentiable convex functions, Hermite-Hadamard integral inequalities on coordinated convex functions in quantum calculus, Some trapezoid and midpoint type inequalities via fractional \((p,q)\)-calculus, \(q\)-Hardy type inequalities for quantum integrals, Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus, Estimation of divergences on time scales via the Green function and Fink's identity, Integral inequalities associated with Gauss hypergeometric function fractional integral operators, On generalizations of some inequalities for convex functions via quantum integrals, Unnamed Item, On Hardy q-inequalities, Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second \(q^b\)-derivatives, Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables, Refinements of quantum Hermite-Hadamard-type inequalities, On Simpson type inequalities for generalized strongly preinvex functions via \((p,q)\)-calculus and applications, On statistical approximation properties of Kantorovich type \(q\)-Bernstein operators, Unnamed Item, Bivariate Extension of Linear Positive Operators, Quantum Integral Inequalities for Generalized Convex Functions, Quantum Integral Inequalities for Generalized Preinvex Functions, On statistical approximation properties of the Kantorovich type Lupaş operators, On generalizations of some integral inequalities for preinvex functions via \((p,q)\)-calculus, On some new quantum trapezoid-type inequalities for \(q\)-differentiable coordinated convex functions, Some new post‐quantum integral inequalities involving multi‐parameter and their applications, Unnamed Item, New developments on Ostrowski type inequalities via \(q\)-fractional integrals involving \(s\)-convex functions, Some new Hermite-Hadamard and Ostrowski type inequalities for s-preinvex functions in \((p,q)\)-calculus with applications, Quantum Ostrowski inequalities for q-differentiable convex functions, Existence results for fractional \(q\)-difference equations with nonlocal \(q\)-integral boundary conditions, Some sharpened and refined versions of the q—Steffensen inequality, On some new inequalities of Hermite-Hadamard-Mercer midpoint and trapezoidal type in \(q\)-calculus, Some quantum estimates for Hermite-Hadamard inequalities, Newton Like Line Search Method Using q-Calculus, Multiple positive solutions of a singular semipositone integral boundary value problem for fractional \(q\)-derivatives equation, Unnamed Item, Unnamed Item, On the refinement of quantum Hermite-Hadamard inequalities for continuous convex functions, Quantum integral inequalities with respect to Raina's function via coordinated generalized \(\Psi\)-convex functions with applications, Some quantum integral inequalities via preinvex functions, Approximation properties of \((p,q)\)-Bernstein type operators, Steffensen's integral inequality on time scales, On Ostrowski inequality for quantum calculus, Positive solutions for a class of boundary value problems with fractional \(q\)-differences, Quantum integral inequalities on finite intervals, Positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation, On weighted \(q\)-Čebyšev-Grüss type inequalities, On Approximation Properties of Generalized q-Bernstein Operators, Unnamed Item, Quantum Analogues of Hermite–Hadamard Type Inequalities for Generalized Convexity, Successive iteration and positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation, Quantum inequalities of Hermite-Hadamard type for \(r\)-convex functions, \((p,q) \)-Hermite-Hadamard inequalities and \((p,q) \)-estimates for midpoint type inequalities via convex and quasi-convex functions, Classical inequalities for \((p, q)\)-calculus on finite intervals, Unnamed Item, New \((p, q)\)-estimates for different types of integral inequalities via \((\alpha, m)\)-convex mappings, On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions, Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus, \((p, q)\)-Hermite-Hadamard inequalities for double integral and \((p, q)\)-differentiable convex functions, Opial inequality in \(q\)-calculus, Grüss type inequalities for double integrals on time scales, Existence of solutions for equations and inclusions of multiterm fractional \(q\)-integro-differential with nonseparated and initial boundary conditions, Some Opial-type integral inequalities via \((p, q)\)-calculus, Ostrowski type inequalities for \(s\)-convex functions via \(q\)-integrals, Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions, Generalizations of some integral inequalities related to Hardy type integral inequalities via \((p,q)\)-calculus, On new generalized quantum integrals and related Hermite-Hadamard inequalities, New entropic bounds on time scales via Hermite interpolating polynomial, Quantum Hermite-Hadamard inequalities for double integral and q-differentiable convex functions, On approximation properties of generalized q-Bernstein-Kantorovich operators, A generalized \(q\)-Grüss inequality involving the Riemann-Liouville fractional \(q\)-integrals, Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator, A new version of \((p,q)\)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in \((p,q)\)-calculus, On q-Opial type inequality for quantum integral, On Steffensen inequality in $p$-calculus, Some generalizations on q-Steffensen inequality, Some new Hardy-type inequalities for Riemann-Liouville fractional \(q\)-integral operator
Cites Work
