Some trapezoid and midpoint type inequalities via fractional \((p,q)\)-calculus
From MaRDI portal
Publication:2167082
DOI10.1186/s13662-021-03487-6zbMath1494.26028OpenAlexW3177737292MaRDI QIDQ2167082
Kamsing Nonlaopon, Jessada Tariboon, Sotiris K. Ntouyas, Pheak Neang, Praveen Agarwal
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03487-6
(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)
Related Items (6)
Generalization of Montgomery identity via Taylor formula on time scales ⋮ On sequential fractional Caputo \((p, q)\)-integrodifference equations via three-point fractional Riemann-Liouville \((p, q)\)-difference boundary condition ⋮ Coefficient Inequalities of a Comprehensive Subclass of Analytic Functions With Respect to Symmetric Points ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integral inequalities via fractional quantum calculus
- On Kantorovich modification of \((p,q) \)-Baskakov operators
- New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
- \(q\)-fractional calculus and equations
- Approximation by \((p,q)\)-Lorentz polynomials on a compact disk
- Some quantum integral inequalities via preinvex functions
- On \((p, q)\)-analogue of Bernstein operators
- On (\(p, q\))-analogue of Kantorovich type Bernstein-Stancu-Schurer operators
- Erratum to: ``On (\(p, q\))-analogue of Bernstein operators
- \(p,q\)-Stirling numbers and set partition statistics
- The \(h\)-Laplace and \(q\)-Laplace transforms
- Some quantum estimates for Hermite-Hadamard inequalities
- \(q\)-difference operators for orthogonal polynomials
- \(\sigma\)-restricted growth functions and \(p,q\)-Stirling numbers
- Variational \(q\)-calculus.
- Integral inequalities in \(q\)-calculus
- Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
- On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
- \((p,q)\)-beta functions and applications in approximation
- Rook theory, generalized {S}tirling numbers and {\((p,q)\)}-analogues
- Variational calculus on \(q\)-nonuniform lattices
- \((p,q) \)-Hermite-Hadamard inequalities and \((p,q) \)-estimates for midpoint type inequalities via convex and quasi-convex functions
- Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
- Impulsive quantum \((p,q)\)-difference equations
- Quantum Hermite-Hadamard inequality by means of a Green function
- Some results on quantum Hahn integral inequalities
- On fractional \((p,q)\)-calculus
- New estimates of \(q_1 q_2\)-Ostrowski-type inequalities within a class of \(n\)-polynomial prevexity of functions
- \((p, q)\)-Hermite-Hadamard inequalities for double integral and \((p, q)\)-differentiable convex functions
- Some systems of multivariable orthogonal \(q\)-Racah polynomials
- On the second-order quantum \((p, q)\)-difference equations with separated boundary conditions
- A study of second-order \(q\)-difference equations with boundary conditions
- On nonlocal boundary value problems of nonlinear \(q\)-difference equations
- Second order \(q\)-difference equations solvable by factorization method
- Some approximation properties of \((p,q)\)-Bernstein operators
- Representations of two parameter quantum algebras and \(p,q\)-special functions
- Quantum Analogues of Hermite–Hadamard Type Inequalities for Generalized Convexity
- A Comprehensive Treatment of q-Calculus
- Quantum Ostrowski inequalities for q-differentiable convex functions
- Nontrivial solutions for fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-difference boundary value problems
- ON GENERALIZED OSCILLATOR ALGEBRAS AND THEIR ASSOCIATED COHERENT STATES
- Quantum integral inequalities for convex functions
- Positive solutions of $q$-difference equation
- A (p, q)-oscillator realization of two-parameter quantum algebras
- On two (p, q)-analogues of the Laplace transform
- Nonlocal boundary value problems for (p, q)-difference equations
- P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
- Generalized Stirling Numbers, Convolution Formulae and p, q-Analogues
- Applications of q-Calculus in Operator Theory
- Two-Parameter Deformation of the Oscillator Algebra and (p, q)Analog of Two-Dimensional Conformal Field Theory
- Simpson type quantum integral inequalities for convex functions
- Applications of (p,q)-gamma function to Szász Durrmeyer operators
- SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
- Quantum calculus
This page was built for publication: Some trapezoid and midpoint type inequalities via fractional \((p,q)\)-calculus
