Subject Terms: statistical convergence, deferred power-series method, Cesàro summability, Korovkin-type theorem, bernstein polynomials, rate of convergence
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Relation: Srivastava, H. M., Jena, B. B., & Paikray, S. K. (2023). A certain class of equi-statistical convergence in the sense of the deferred power-series method. Axioms, 12(10), 964. https://doi.org/10.3390/axioms12100964; https://doi.org/10.3390/axioms12100964; http://hdl.handle.net/1828/15786
Authors: Izadi, Mohammad, Srivastava, Hari M.
Subject Terms: collocation nodes, convergent analysis, Chatterjea polynomials, Michaelis–Menten kinetics, spherical catalyst, reaction–diffusion equation
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Relation: Izadi, M., & Srivastava, H. M. (2023). The reaction–diffusion models in biomedicine: Highly accurate calculations via a hybrid matrix collocation algorithm. Applied Sciences, 13(21), 11672. https://doi.org/10.3390/app132111672; https://doi.org/10.3390/app132111672; http://hdl.handle.net/1828/15757
Authors: Srivastava, Hari Mohan, Al-Shbeil, Isra, Xin, Qin, Tchier, Fairouz, Khan, Shahid, Malik, Sarfraz Nawaz
Subject Terms: quantum (or q-) calculus, analytic functions, q-derivative operator, bi-univalent functions, Faber polynomial expansions
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Relation: Srivastava, H. M., Al-Shbeil, I., Xin, Q., Tchier, F., Khan, S., & Malik, S. N. (2023). Faber polynomial coefficient estimates for bi-close-to-convex functions defined by the Q-fractional derivative. Axioms, 12(6), 585. https://doi.org/10.3390/axioms12060585; https://doi.org/10.3390/axioms12060585; http://hdl.handle.net/1828/15880
Authors: Saad, Khaled M., Srivastava, Hari M.
Subject Terms: multi-space fractional-order coupled Korteweg–De Vries equation, Chebyshev polynomials of the first kind, Chebyshev spectral collocation method, Newton–Raphson method, operators of fractional calculus, Riemann–Liouville and Liouville–Caputo fractional derivatives, Caputo–Fabrizio and Atangana–Baleanu fractional derivatives
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Relation: Saad, K. M., & Srivastava, H. M. (2023). Numerical Solutions of the Multi-Space Fractional-Order Coupled Korteweg–De Vries Equation with Several Different Kernels. Fractal and Fractional, 7(10), 716. https://doi.org/10.3390/fractalfract7100716; https://doi.org/10.3390/fractalfract7100716; http://hdl.handle.net/1828/15532
Authors: Srivastava, H.M., Izadi, Mohammad
Subject Terms: collocation points, convergent analysis, electrohydrodynamic flow, Liouville-Caputo fractional derivative, shifted airfoil polynomials, singular ODEs, strongly nonlinearity
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Relation: Srivastava, H. M. & Izadi, M. (2023). “Generalized shifted airfoil polynomials of the second kind to solve a class of singular electrohydrodynamic fluid model of fractional order.” Fractal and Fractional, 7(1), 94. https://doi.org/10.3390/fractalfract7010094; https://doi.org/10.3390/fractalfract7010094; http://hdl.handle.net/1828/14783
Authors: Ricci, Paolo Emilio, Srivastava, Rekha
Subject Terms: Laguerre-type exponentials, Laguerre-type derivative, Appell polynomials, hypergeometric polynomials and numbers
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Relation: Ricci, P. & Srivastava, R. (2022). “A note on the Laguerre-type Appell and hypergeometric polynomials.” Mathematics, 10(11), 1951. https://doi.org/10.3390/math10111951; https://doi.org/10.3390/math10111951; http://hdl.handle.net/1828/14372
Authors: Srivastava, H.M.
Subject Terms: linear and bilinear generating functions, orthogonal polynomials, Jacobi, Laguerre and Hermite polynomials, Bessel polynomials, higher transcendental functions, Lagrange's expansion theorem, Bailey's bilinear generating function, Hille-Hardy formula, Mehler's formula, operational techniques, Laplace and inverse Laplace transforms, Riemann-Liouville fractional derivative, hypergeometric functions, hypergeometric polynomials
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Relation: Srivastava, H. M. (2022). “Some families of generating functions associated with orthogonal polynomials and other higher transcendental functions.” Mathematics, 10(20), 3730. https://doi.org/10.3390/math10203730; https://doi.org/10.3390/math10203730; http://hdl.handle.net/1828/14413
Authors: Haghi, Rad
Contributors: Crawford, Curran
Subject Terms: Wind Turbine, Surrogate Models, Data-driven, Machine Learning, Gaussian process, Polynomial Chaos Expansion
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Relation: http://hdl.handle.net/1828/15911; Haghi, R. and Crawford, C.: Surrogate models for the blade element momentum aerodynamic model using non-intrusive polynomial chaos expansions, Wind Energ. Sci., 7, 1289–1304, https://doi.org/10.5194/wes-7-1289-2022, 2022.; Haghi, R. and Crawford, C.: Data-driven surrogate model for wind turbine damage equivalent load, Wind Energ. Sci. Discuss. [preprint], https://doi.org/10.5194/wes-2023-157, in review, 2023.; Haghi R, Stagg C, Crawford C. Wind Turbine Damage Equivalent Load Assessment Using Gaussian Process Regression Combining Measurement and Synthetic Data. Energies. 2024; 17(2):346. https://doi.org/10.3390/en17020346
Availability:
https://doi.org/10.5194/wes-7-1289-202210.5194/wes-2023-15710.3390/en17020346
http://hdl.handle.net/1828/15911
Authors: Liko, Rozana, Srivastava, Hari M., Mohammed, Pshtiwan O., Kashuri, Artion, Al-Sarairah, Eman, Sahoo, Soubhagya K., Soliman, Mohamed S.
Subject Terms: Ostrowski inequality, Riemann–Liouville q-fractional integrals, q-Hölder’s inequality, q-power mean inequality, n-polynomial convex functions, special means
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Relation: Liko, R., Srivastava, H. M., Mohammed, P. O., Kashuri, A., Al-Sarairah, E., Sahoo, S. K., & Soliman, M. S. (2022). Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions. Axioms, 11(12), 727. https://doi.org/10.3390/axioms11120727; https://doi.org/10.3390/axioms11120727; http://hdl.handle.net/1828/15511
Authors: Ong, Seng Huat, Ng, Choung Min, Yap, Hong Keat, Srivastava, H.M.
Subject Terms: generalized Laguerre polynomials, Korovkin theorem, noncentral negative binomial, probabilistic derivation, Weierstrass approximation theorem, Szász–Mirakyan operator
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Relation: Ong, S. H., Ng, C. M., Yap, H. K., & Srivastava, H. M. (2022). “Some probabilistic generalizations of the Cheney-Sharma and Bernstein approximation operators.” Axioms, 11(10), 537. https://doi.org/10.3390/axioms11100537; https://doi.org/10.3390/axioms11100537; http://hdl.handle.net/1828/14420
Authors: Srivastava, H.M., Shah, Firdous A., Nayied, Naied A.
Subject Terms: Hunter-Saxton equation, Fibonacci wavelet, Fibonacci polynomial, operational matrices, quasi-linearization, convergence, error estimation
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Relation: Srivastava, H. M., Shah, F. A., & Nayied, N. A. (2022). “Fibonacci wavelet method for the solution of the non-linear Hunter-Saxton equation.” Applied Sciences, 12(15), 7738. https://doi.org/10.3390/app12157738; https://doi.org/10.3390/app12157738; http://hdl.handle.net/1828/14456
Authors: Caratelli, Diego, Srivastava, Rekha, Ricci, Paolo Emilio
Subject Terms: Laplace transform of composed functions, bivariate Bell polynomials
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Relation: Caratelli, D., Srivastava, R., & Ricci, P. E. (2022). “The Laplace transform of composed functions and bivariate Bell polynomials.” Axioms, 11(11), 591. https://doi.org/10.3390/axioms11110591; https://doi.org/10.3390/axioms11110591; http://hdl.handle.net/1828/14412
Authors: Zhai, Jie, Srivastava, Rekha, Liu, Jin-Lin
Subject Terms: analytic function, bi-univalent function, subordination, schwarz function, bi-close-to-convex, generalized hypergeometric function, faber polynomial expansion
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Relation: Zhai, J., Srivastava, R., & Liu, J. (2022). “Faber polynomial coefficient estimates of bi-close-to-convex functions associated with generalized hypergeometric functions.” Mathematics, 10(17), 3073. https://doi.org/10.3390/math10173073; https://doi.org/10.3390/math10173073; http://hdl.handle.net/1828/14387
Subject Terms: generalized Mittag-Leffler function, mutli-space fractal-fractional Kuramoto-Sivashinsky equation, multi-space fractal-fractional, Korteweg-de Vries equation, spectral collocation method involving the shifted legendre polynomials, Newton-Raphson method
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Relation: Srivastava, H., Saad, K., & Hamanah, W. (2022). “Certain new models of the multispace fractal-fractional Kuramoto-Sivashinsky and Korteweg-de Vries equations.” Mathematics, 10(7), 1089. https://doi.org/10.3390/math10071089; https://doi.org/10.3390/math10071089; http://hdl.handle.net/1828/14330
Authors: Cheng, Ying, Srivastava, Rekha, Liu, Jin-Lin
Subject Terms: analytic functions, bi-univalent functions, q-derivative operator, subordination between analytic functions, Legendre polynomials, Fekete-Szegö inequality
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Relation: Cheng, Y., Srivastava, R., & Liu, J. (2022). “Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre polynomials.” Axioms, 11(11), 595. https://doi.org/10.3390/axioms11110595; https://doi.org/10.3390/axioms11110595; http://hdl.handle.net/1828/14459
Authors: Cao, Jian, Srivastava, H.M., Zhou, Hong-Li, Arjika, Sama
Subject Terms: homogeneous q-difference operator, double q-binomial coefficients, q-difference equations, q-hypergeometric polynomials, generating functions
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Relation: Cao, J., Srivastava, H., Zhou, H., & Arjika, S. (2022). “Generalized q-difference equations for q-hypergeometric polynomials with double q-binomial coefficients.” Mathematics, 10(4), 556. https://doi.org/10.3390/math10040556; https://doi.org/10.3390/math10040556; http://hdl.handle.net/1828/14312
Authors: Izadi, Mohammad, Srivastava, H.M., Adel, Waleed
Subject Terms: Bessel polynomials, collocation points, differential-difference equation, functional differential equation, singular Lane-Emden type equation
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Relation: Izadi, M., Srivastava, H., & Adel, W. (2022). “An effective approximation algorithm for second-order singular functional differential equations.” Axioms, 11(3), 133. https://doi.org/10.3390/axioms11030133; https://doi.org/10.3390/axioms11030133; http://hdl.handle.net/1828/14328
Subject Terms: Riemann and Lebesgue integrals, statistical Riemann and Lebesgue integral, deferred weighted Riemann summability, Banach space, Bernstein polynomials, positive linear operators, Korovkin-type approximation theorems, Lebesgue-measurable sequences of functions
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Relation: Srivastava, H., Jena, B., & Paikray, S. (2022). “Some Korovkin-type approximation theorems associated with a certain deferred weighted statistical Riemann-integrable sequence of functions.” Axioms, 11(3), 128. https://doi.org/10.3390/axioms11030128; https://doi.org/10.3390/axioms11030128; http://hdl.handle.net/1828/14346
Subject Terms: r-associated Stirling numbers, representation formulas, Bernoulli polynomials, Blissard umbral approach, Bell polynomials, 2D extensions
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Relation: Ricci, P. E., Srivastava, R., & Natalini, P. (2021). “A family of the r-associated Stirling numbers of the second kind and generalized Bernoulli polynomials.” Axioms, 10(3), 219. https://doi.org/10.3390/axioms10030219; https://doi.org/10.3390/axioms10030219; http://hdl.handle.net/1828/14465
Authors: Srivastava, H.M., Arjika, Sama
Subject Terms: basic (or q-) hypergeometric series, homogeneous q-difference operator, q-binomial theorem, cauchy polynomials, Al-Salam-Carlitz q-polynomials, rogers type formulas, Srivastava-Agarwal type generating functions
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Relation: Srivastava, H. M. & Arjika, S. (2021). A General Family of q-Hypergeometric Polynomials and Associated Generating Functions. Mathematics, 9(11), 1-15. https://doi.org/10.3390/math9111161.; https://doi.org/10.3390/math9111161; http://hdl.handle.net/1828/13075