Found 211 Documents (Results 1–100)
On generalized \((k,\psi)\)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem. (English) Zbl 07897009
Analytical properties, fractal dimensions and related inequalities of \((k, h)\)-Riemann-Liouville fractional integrals. (English) Zbl 07890850
Generalization of Hermite-Hadamard-Mercer and trapezoid formula type inequalities involving the beta function. (English) Zbl 07845355
Investigation for the \(k\)-analogue of \(\tau\)-Gauss hypergeometric matrix functions and associated fractional calculus. (English) Zbl 1536.33013
On multiplicative Hermite-Hadamard- and Newton-type inequalities for multiplicatively \((P, m)\)-convex functions. (English) Zbl 07808105
Certain generalized Riemann-Liouville fractional integrals inequalities based on exponentially \((h, m)\)-preinvexity. (English) Zbl 07762462
Implicit coupled \(k\)-generalized \(\psi\)-Hilfer fractional differential systems with terminal conditions in Banach spaces. (English) Zbl 07910317
Candela, Anna Maria (ed.) et al., Recent advances in mathematical analysis. Celebrating the 70th anniversary of Francesco Altomare. Based on the presentations at the international conference, ReDiMA 2021, Bari, Italy, September 23–24, 2021. Cham: Birkhäuser. Trends Math., 443-463 (2023).
Caputo fractional derivative inequalities for refined modified \((h, m)\)-convex functions. (English) Zbl 07869293
Some refinements of the Hermite-Hadamard inequality with the help of weighted integrals. (English) Zbl 07786452
Ukr. Math. J. 75, No. 6, 842-860 (2023) and Ukr. Mat. Zh. 75, No. 6, 736-752 (2023).
Error estimates of Hermite-Hadamard type inequalities with respect to a monotonically increasing function. (English) Zbl 1528.26024
Generalized derivatives and Laplace transform in \((k, \psi)\)-Hilfer form. (English) Zbl 1541.44002
A modified class of Ostrowski-type inequalities and error bounds of Hermite-Hadamard inequalities. (English) Zbl 1532.26045
\(k\)-fractional integral inequalities of Hadamard type for strongly exponentially \((\alpha,h-m)\)-convex functions. (English) Zbl 07780949
Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator. (English) Zbl 1532.26033
\(\mathrm{K}\)-symbol fractional order discrete-time models of Lozi system. (English) Zbl 1532.37045
Weighted Hermite-Hadamard inequalities for \(r\)-times differentiable preinvex functions for \(k\)-fractional integrals. (English) Zbl 07734707
A new version of Newton’s inequalities for Riemann-Liouville fractional integrals. (English) Zbl 1519.26011
Reviewer: László Losonczi (Debrecen)
On implicit \(k\)-generalized \(\psi\)-Hilfer fractional differential coupled systems with periodic conditions. (English) Zbl 1516.34020
Fractional integral inequalities of Hermite-Hadamard type for P-convex and quasi-convex stochastic process. (English) Zbl 1524.60043
New results on \((p_1, p_2, \cdots, p_{n}, k)\) analogue of Lauricella function with transforms and fractional calculus operator. (English) Zbl 07910321
Singh, Sandeep (ed.) et al., Algebra, analysis, and associated topics. Cham: Birkhäuser. Trends Math., 27-40 (2022).
On \(k\)-generalized \(\psi\)-Hilfer impulsive boundary value problem with retarded and advanced arguments in Banach spaces. (English) Zbl 1529.34008
Ostrowski-type inequalities pertaining to Atangana-Baleanu fractional operators and applications containing special functions. (English) Zbl 1532.26012
The \(K\) extended Laguerre polynomials involving \(\left\{A^{(\alpha)}_{r, n, k}(x)\right\}{}_rf_r\), \(r > 2\). (English) Zbl 1528.33007
Certain new weighted Young- and Pólya-Szegö-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function with applications. (English) Zbl 1512.26016
Some new generalized fractional Newton’s type inequalities for convex functions. (English) Zbl 1506.26038
Some new inequalities for fractional integral operators. (English) Zbl 1496.26021
Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 487-508 (2022).
Some new fractional inequalities using \(n\)-polynomials \(s\)-type convexity. (English) Zbl 1496.26033
Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 457-476 (2022).
On some new extensions of inequalities of Hermite-Hadamard type for generalized fractional integrals. (English) Zbl 1493.26050
Some inequalities of Hermite-Hadamard type for MT-h-convex functions via classical and generalized fractional integrals. (English) Zbl 1505.26048
Some generalized formulas of Hadamard-type fractional integral inequalities. (English) Zbl 1503.26090
Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals. (English) Zbl 1506.26023
\((p, h)\)-convex functions associated with Hadamard and Fejér-Hadamard inequalities via \(k\)-fractional integral operators. (English) Zbl 1498.26076
Parameterized inequalities of different types for preinvex functions with respect to another function via generalized fractional integral operators and their applications. (English) Zbl 1498.26051
Ukr. Math. J. 73, No. 9, 1371-1397 (2022) and Ukr. Mat. Zh. 73, No. 9, 1181-1204 (2021).
Hadamard and Fejér-Hadamard inequalities for generalized \(k\)-fractional integrals involving further extension of Mittag-Leffler function. (English) Zbl 1485.26056
New fractional identities, associated novel fractional inequalities with applications to means and error estimations for quadrature formulas. (English) Zbl 1506.26020
Some new bounds of Gauss-Jacobi and Hermite-Hadamard-type integral inequalities. (English) Zbl 1495.26029
Ukr. Math. J. 73, No. 8, 1238-1258 (2022) and Ukr. Mat. Zh. 73, No. 8, 1067-1084 (2021).
MSC:
26D15
Some integral inequalities in the framework of generalized \(k\)-proportional fractional integral operators with general kernel. (English) Zbl 07850773
Certain \(k\)-fractional calculus operators and image formulas of generalized \(k\)-Bessel function. (English) Zbl 07850564
Fractional integral operators in linear spaces. (English) Zbl 1496.26006
Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 499-521 (2021).
Certain fractional formulas of the extended \(k\)-hypergeometric functions. (English) Zbl 1494.33001
Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions. (English) Zbl 1494.26042
Some new inequalities using conformable fractional integral of order \(\beta\). (English) Zbl 1513.26060
Several integral inequalities for generalized Riemann-Liouville fractional operators. (English) Zbl 1489.26021
Riemann-Liouville fractional integral operators with respect to increasing functions and strongly \((\alpha, m)\)-convex functions. (English) Zbl 1525.26003
Expressions of the Laguerre polynomial and some other special functions in terms of the generalized Meijer \(G\)-functions. (English) Zbl 1510.33015
Integral inequalities within the framework of generalized fractional integrals. (English) Zbl 1499.26117
On \(k\)-generalized \(\psi\)-Hilfer impulsive boundary value problem with retarded and advanced argument. (English) Zbl 1498.34216
Reviewer: Xiping Liu (Shanghai)
On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space. (English) Zbl 1484.26012
Fractional inequalities of the Hermite-Hadamard type for \(m\)-polynomial convex and harmonically convex functions. (English) Zbl 1484.26082
\(k\)-fractional integral inequalities of Hadamard type for exponentially \((s, m)\)-convex functions. (English) Zbl 1484.26088
Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions. (English) Zbl 1485.26043
Fractional calculus of generalized Lommel-Wright function and its extended beta transform. (English) Zbl 1485.33006
Estimates of trapezium-type inequalities for \(h\)-convex functions with applications to quadrature formulae. (English) Zbl 1484.26090
Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals. (English) Zbl 1493.26062
Some integral inequalities for approximately \(h\)-convex functions and their applications. (English) Zbl 1490.26009
Reviewer: James Adedayo Oguntuase (Abeokuta)
New multi-functional approach for \(\kappa\)th-order differentiability governed by fractional calculus via approximately generalized \((\psi, \hbar)\)-convex functions in Hilbert space. (English) Zbl 1512.26006
MSC:
26A33
On some Hermite-Hadamard inequalities involving \(k\)-fractional operators. (English) Zbl 1504.26071
Further results on the \( (p, k)\)-analogue of hypergeometric functions associated with fractional calculus operators. (English) Zbl 1512.33015
Refinements and generalizations of some fractional integral inequalities via strongly convex functions. (English) Zbl 1512.26018
Analytical properties of \((k,s)\)-Riemann-Liouville fractional integral and its fractal dimension. (English) Zbl 1493.26015
On new generalized inequalities with some parameters for coordinated convex functions via generalized fractional integrals. (English) Zbl 1484.26051
Fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions. (English) Zbl 1477.26008
Some \(\delta\)-tempered fractional Hermite-Hadamard inequalities involving harmonically convex functions and applications. (English) Zbl 1477.26004
Ostrowski type inequalities for \(k\)-\(\beta\)-convex functions via Riemann-Liouville \(k\)-fractional integrals. (English) Zbl 1482.26023
Reviewer: James Adedayo Oguntuase (Abeokuta)
Composition formulae for the \(k\)-fractional calculus operator with the \(S\)-function. (English) Zbl 1477.33023
Estimates of classes of generalized special functions and their application in the fractional \((k, s)\)-calculus theory. (English) Zbl 1490.33009
New trapezium type inequalities for preinvex functions via generalized fractional integral operators and their applications. (English) Zbl 1480.26011
Rassias, Themistocles M. (ed.), Approximation theory and analytic inequalities. Cham: Springer. 251-272 (2021).
Some new refinement of Gauss-Jacobi and Hermite-Hadamard type integral inequalities. (English) Zbl 1480.26020
Rassias, Themistocles M. (ed.), Approximation theory and analytic inequalities. Cham: Springer. 227-250 (2021).
Some new Ostrowski-type inequalities involving \(\sigma\)-fractional integrals. (English) Zbl 1477.26011
Inequalities for unified integral operators via strongly \((\alpha ,h\text{-}m)\)-convexity. (English) Zbl 1479.26012
Reviewer: James Adedayo Oguntuase (Abeokuta)
Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications. (English) Zbl 1524.26072
New integral inequalities of Hermite-Hadamard type via the Katugampola fractional integrals for strongly \(\eta\)-quasiconvex functions. (English) Zbl 1471.26003
Unified integral operator inequalities via convex composition of two functions. (English) Zbl 1468.26014
Generalized Hadamard fractional integral inequalities for strongly \((s,m)\)-convex functions. (English) Zbl 1477.26010
Some general integral operator inequalities associated with \(\varphi \)-quasiconvex functions. (English) Zbl 1512.26023
On new extensions of Hermite-Hadamard inequalities for generalized fractional integrals. (English) Zbl 1474.26090
Some different type parameterized inequalities via generalized integral operators and their applications. (English) Zbl 1473.26023
Reviewer: Snezhana Hristova (Plovdiv)
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