Batbold, Tserendorj; Azar, Laith E.; Krnić, Mario A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels. (English) Zbl 1428.26034 Appl. Math. Comput. 343, 167-182 (2019). MSC: 26D15 PDF BibTeX XML Cite \textit{T. Batbold} et al., Appl. Math. Comput. 343, 167--182 (2019; Zbl 1428.26034) Full Text: DOI
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar; Torebek, Berikbol T. Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals. (English) Zbl 1426.26008 J. Comput. Appl. Math. 353, 120-129 (2019). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 26D10 PDF BibTeX XML Cite \textit{B. Ahmad} et al., J. Comput. Appl. Math. 353, 120--129 (2019; Zbl 1426.26008) Full Text: DOI
Usta, F.; Sarikaya, M. Z. On generalization of Pachpatte type inequalities for conformable fractional integral. (English) Zbl 1400.26063 TWMS J. Appl. Eng. Math. 8, No. 1, 106-113 (2018). MSC: 26D15 26A33 26A42 PDF BibTeX XML Cite \textit{F. Usta} and \textit{M. Z. Sarikaya}, TWMS J. Appl. Eng. Math. 8, No. 1, 106--113 (2018; Zbl 1400.26063) Full Text: Link
Zhao, Chang-Jian; Cheung, Winh-Sum On Pachpatte, Pečarić and Love’s inequalities. (English) Zbl 1389.26058 An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 62, No. 2, Part 2, 513-520 (2016). MSC: 26D15 PDF BibTeX XML Cite \textit{C.-J. Zhao} and \textit{W.-S. Cheung}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 62, No. 2, Part 2, 513--520 (2016; Zbl 1389.26058)
Latif, M. A. Generalization of integral inequalities for product of convex functions. (English) Zbl 1413.26046 Int. J. Anal. Appl. 5, No. 2, 185-190 (2014). MSC: 26D15 26D20 PDF BibTeX XML Cite \textit{M. A. Latif}, Int. J. Anal. Appl. 5, No. 2, 185--190 (2014; Zbl 1413.26046) Full Text: Link
Pečarić, Josip; Vuković, Predrag Hilbert-Pachpatte-type inequality due to fractional differential inequalities. (English) Zbl 1340.26052 An. Univ. Craiova, Ser. Mat. Inf. 41, No. 2, 280-291 (2014). MSC: 26D15 PDF BibTeX XML Cite \textit{J. Pečarić} and \textit{P. Vuković}, An. Univ. Craiova, Ser. Mat. Inf. 41, No. 2, 280--291 (2014; Zbl 1340.26052)
Thiramanus, Phollakrit; Tariboon, Jessada; Ntouyas, Sotiris K. Pachpatte’s type integral inequalities with integral impulses. (English) Zbl 1305.26054 J. Math. Inequal. 8, No. 4, 839-853 (2014). MSC: 26D15 34A37 PDF BibTeX XML Cite \textit{P. Thiramanus} et al., J. Math. Inequal. 8, No. 4, 839--853 (2014; Zbl 1305.26054) Full Text: DOI Link
Anastassiou, George A. Nabla fractional calculus on time scales and inequalities. (English) Zbl 1312.26011 J. Concr. Appl. Math. 11, No. 1, 96-111 (2013). MSC: 26A33 26D15 39A12 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, J. Concr. Appl. Math. 11, No. 1, 96--111 (2013; Zbl 1312.26011)
Leng, Tuo; Feng, Yong On Hardy-type integral inequalities. (English) Zbl 1286.26015 Appl. Math. Mech., Engl. Ed. 34, No. 10, 1297-1304 (2013). MSC: 26D15 PDF BibTeX XML Cite \textit{T. Leng} and \textit{Y. Feng}, Appl. Math. Mech., Engl. Ed. 34, No. 10, 1297--1304 (2013; Zbl 1286.26015) Full Text: DOI
Zhao, Chang-Jian; Cheung, Wing-Sum On Hilbert type inequalities. (English) Zbl 1277.26052 J. Inequal. Appl. 2012, Paper No. 145, 7 p. (2012). MSC: 26D15 PDF BibTeX XML Cite \textit{C.-J. Zhao} and \textit{W.-S. Cheung}, J. Inequal. Appl. 2012, Paper No. 145, 7 p. (2012; Zbl 1277.26052) Full Text: DOI
Zhao, Chang-Jian; Cheung, Wing-Sum; Bencze, Mihály Some sharp integral inequalities involving partial derivatives. (English) Zbl 1277.26053 J. Inequal. Appl. 2012, Paper No. 109, 8 p. (2012). MSC: 26D15 PDF BibTeX XML Cite \textit{C.-J. Zhao} et al., J. Inequal. Appl. 2012, Paper No. 109, 8 p. (2012; Zbl 1277.26053) Full Text: DOI
Park, Jaekeun New integral inequalities for products of similar \(s\)-convex functions in the first sense. (English) Zbl 1263.26009 Int. J. Pure Appl. Math. 80, No. 4, 585-596 (2012). MSC: 26A24 26D15 PDF BibTeX XML Cite \textit{J. Park}, Int. J. Pure Appl. Math. 80, No. 4, 585--596 (2012; Zbl 1263.26009) Full Text: Link
Wang, Wusheng; Zhou, Xiaoliang A generalized Pachpatte type inequality on time scales and its application to a boundary value problem. (Chinese. English summary) Zbl 1265.34066 Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 2, 404-413 (2012). MSC: 34B15 26D15 26D20 34N05 PDF BibTeX XML Cite \textit{W. Wang} and \textit{X. Zhou}, Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 2, 404--413 (2012; Zbl 1265.34066)
Abdeldaim, A. On some new Gronwall-Bellman-Ou-Iang type integral inequalities to study certain epidemic models. (English) Zbl 1254.26029 J. Integral Equations Appl. 24, No. 2, 149-166 (2012). Reviewer: Alexei Lukashov (Istanbul) MSC: 26D15 PDF BibTeX XML Cite \textit{A. Abdeldaim}, J. Integral Equations Appl. 24, No. 2, 149--166 (2012; Zbl 1254.26029) Full Text: DOI Euclid
Wang, Wu-Sheng; Zhou, Xiaoliang; Guo, Zhonghai Some new retarded nonlinear integral inequalities and their applications in differential-integral equations. (English) Zbl 1250.26027 Appl. Math. Comput. 218, No. 21, 10726-10736 (2012). MSC: 26D15 PDF BibTeX XML Cite \textit{W.-S. Wang} et al., Appl. Math. Comput. 218, No. 21, 10726--10736 (2012; Zbl 1250.26027) Full Text: DOI
Du, Liwei; Xu, Run Some new Pachpatte type inequalities on time scales and their applications. (English) Zbl 1259.34092 J. Math. Inequal. 6, No. 2, 229-240 (2012). Reviewer: Stefan Hilger (Eichstätt) MSC: 34N05 34A40 PDF BibTeX XML Cite \textit{L. Du} and \textit{R. Xu}, J. Math. Inequal. 6, No. 2, 229--240 (2012; Zbl 1259.34092) Full Text: DOI Link
Anastassiou, George A. \(q\)-inequalities. (English) Zbl 1261.26004 Nonlinear Funct. Anal. Appl. 16, No. 1, 79-92 (2011). MSC: 26A24 26A39 26D10 26D15 33D05 33D15 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Nonlinear Funct. Anal. Appl. 16, No. 1, 79--92 (2011; Zbl 1261.26004)
Anastassiou, George A. Hilbert-Pachpatte-type inequalities for semigroups, cosine and sine operator functions. (English) Zbl 1269.26009 Appl. Math. Lett. 24, No. 12, 2172-2180 (2011). MSC: 26D15 26D05 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Appl. Math. Lett. 24, No. 12, 2172--2180 (2011; Zbl 1269.26009) Full Text: DOI
Anastassiou, George A. \(q\)-fractional inequalities. (English) Zbl 1233.26004 Cubo 13, No. 1, 61-71 (2011). MSC: 26A24 26A33 26A39 26D10 26D15 33D05 33D60 81P99 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Cubo 13, No. 1, 61--71 (2011; Zbl 1233.26004) Full Text: DOI
Anastassiou, George A. Nabla time scales inequalities. (English) Zbl 1211.26025 Int. J. Dyn. Syst. Differ. Equ. 3, No. 1-2, 59-83 (2011). MSC: 26E70 26D15 26A33 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Int. J. Dyn. Syst. Differ. Equ. 3, No. 1--2, 59--83 (2011; Zbl 1211.26025)
Tunç, Mevlüt; Kirmaci, S. Uğur New integral inequalities for \(s\)-convex functions with applications. (English) Zbl 1399.26070 Int. Electron. J. Pure Appl. Math. 1, No. 2, 131-141 (2010). MSC: 26D15 26A51 PDF BibTeX XML Cite \textit{M. Tunç} and \textit{S. U. Kirmaci}, Int. Electron. J. Pure Appl. Math. 1, No. 2, 131--141 (2010; Zbl 1399.26070) Full Text: Link
Anastassiou, George A. Principles of delta fractional calculus on time scales and inequalities. (English) Zbl 1201.26001 Math. Comput. Modelling 52, No. 3-4, 556-566 (2010). MSC: 26A33 26D15 26E70 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Math. Comput. Modelling 52, No. 3--4, 556--566 (2010; Zbl 1201.26001) Full Text: DOI
Anastassiou, George A. Duality principle of time scales and inequalities. (English) Zbl 1205.26029 Appl. Anal. 89, No. 12, 1837-1854 (2010). MSC: 26D15 26E70 39A12 93C70 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Appl. Anal. 89, No. 12, 1837--1854 (2010; Zbl 1205.26029) Full Text: DOI
Anastassiou, George A. Foundations of nabla fractional calculus on time scales and inequalities. (English) Zbl 1198.26033 Comput. Math. Appl. 59, No. 12, 3750-3762 (2010). MSC: 26E70 26A33 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Comput. Math. Appl. 59, No. 12, 3750--3762 (2010; Zbl 1198.26033) Full Text: DOI
Anastassiou, George A. Hilbert-Pachpatte type fractional integral inequalities. (English) Zbl 1165.26320 Math. Comput. Modelling 49, No. 7-8, 1539-1550 (2009). MSC: 26D15 26A33 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Math. Comput. Modelling 49, No. 7--8, 1539--1550 (2009; Zbl 1165.26320) Full Text: DOI
Yang, Wengui Some new Hilbert-Pachpatte’s inequalities. (English) Zbl 1165.26348 JIPAM, J. Inequal. Pure Appl. Math. 10, No. 1, Paper No. 26, 14 p. (2009). MSC: 26D15 PDF BibTeX XML Cite \textit{W. Yang}, JIPAM, J. Inequal. Pure Appl. Math. 10, No. 1, Paper No. 26, 14 p. (2009; Zbl 1165.26348) Full Text: EMIS EuDML
Medved’, M. Singular integral inequalities with several nonlinearities and integral equations with singular kernels. (English) Zbl 1275.45002 Nonlinear Oscil., N.Y. 11, No. 1, 70-79 (2008) and Nelinijni Kolyvannya 11, No. 1, 71-80 (2008). MSC: 45G05 45D05 26D15 PDF BibTeX XML Cite \textit{M. Medved'}, Nonlinear Oscil., N.Y. 11, No. 1, 70--79 (2008; Zbl 1275.45002) Full Text: DOI
Zhao, Changjian; Ji, Zaixiu On inverse Hilbert-Pachpatte’s type inequalities. (Chinese. English summary) Zbl 1174.26338 Acta Math. Sin., Chin. Ser. 51, No. 5, 1015-1020 (2008). MSC: 26D15 PDF BibTeX XML Cite \textit{C. Zhao} and \textit{Z. Ji}, Acta Math. Sin., Chin. Ser. 51, No. 5, 1015--1020 (2008; Zbl 1174.26338)
Anderson, Douglas R. Dynamic double integral inequalities in two independent variables on time scales. (English) Zbl 1170.26306 J. Math. Inequal. 2, No. 2, 163-184 (2008). MSC: 26D15 26D20 39A12 PDF BibTeX XML Cite \textit{D. R. Anderson}, J. Math. Inequal. 2, No. 2, 163--184 (2008; Zbl 1170.26306) Full Text: DOI
Medveď, Milan On singular versions of Bihari and Wendroff-Pachpatte type integral inequalities and their application. (English) Zbl 1164.26021 Tatra Mt. Math. Publ. 38, 163-174 (2007). Reviewer: Jozef Diblík (Žilina) MSC: 26D15 PDF BibTeX XML Cite \textit{M. Medveď}, Tatra Mt. Math. Publ. 38, 163--174 (2007; Zbl 1164.26021)
Móri, Tamás F. Exact integral inequalities for convex functions. (English) Zbl 1132.26366 J. Math. Inequal. 1, No. 1, 105-116 (2007). MSC: 26D15 60E15 PDF BibTeX XML Cite \textit{T. F. Móri}, J. Math. Inequal. 1, No. 1, 105--116 (2007; Zbl 1132.26366) Full Text: DOI
Anastassiou, George A. Hilbert-Pachpatte type general integral inequalities. (English) Zbl 1132.26308 Appl. Anal. 86, No. 8, 945-961 (2007). MSC: 26A33 26D10 26D15 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Appl. Anal. 86, No. 8, 945--961 (2007; Zbl 1132.26308) Full Text: DOI
Anastassiou, George A. Hilbert-Pachpatte type general multivariate integral inequalities. (English) Zbl 1157.26300 Int. J. Appl. Math. 20, No. 4, 549-573 (2007). MSC: 26A33 26D10 26D15 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Int. J. Appl. Math. 20, No. 4, 549--573 (2007; Zbl 1157.26300)
Akin-Bohner, Elvan; Bohner, Martin; Akin, Faysal Pachpatte inequalities on time scales. (English) Zbl 1086.34014 JIPAM, J. Inequal. Pure Appl. Math. 6, No. 1, Paper No. 6, 23 p. (2005). Reviewer: Christian Pötzsche (Minneapolis) MSC: 34A40 39A10 39A13 PDF BibTeX XML Cite \textit{E. Akin-Bohner} et al., JIPAM, J. Inequal. Pure Appl. Math. 6, No. 1, Paper No. 6, 23 p. (2005; Zbl 1086.34014) Full Text: EuDML
Kim, Young Ho Some new inverse-type Hilbert–Pachpatte integral inequalities. (English) Zbl 1062.26017 Acta Math. Sin., Engl. Ser. 20, No. 1, 57-62 (2004). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 26D15 PDF BibTeX XML Cite \textit{Y. H. Kim}, Acta Math. Sin., Engl. Ser. 20, No. 1, 57--62 (2004; Zbl 1062.26017) Full Text: DOI
Handley, G. D.; Koliha, J. J.; Pečarić, J. Hilbert-Pachpatte type multidimensional integral inequalities. (English) Zbl 1057.26016 JIPAM, J. Inequal. Pure Appl. Math. 5, No. 2, Paper No. 34, 8 p. (2004). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 PDF BibTeX XML Cite \textit{G. D. Handley} et al., JIPAM, J. Inequal. Pure Appl. Math. 5, No. 2, Paper No. 34, 8 p. (2004; Zbl 1057.26016) Full Text: EuDML
Lü, Zhongxue Some new inequalities similar to Hilbert-Pachpatte type inequalities. (English) Zbl 1057.26019 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 33, 8 p. (2003). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 PDF BibTeX XML Cite \textit{Z. Lü}, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 33, 8 p. (2003; Zbl 1057.26019) Full Text: EuDML
Lü, Zhongxue Some new discrete inequalities similar to Hilbert-Pachpatte type inequalities. (English) Zbl 1046.26011 Indian J. Pure Appl. Math. 34, No. 12, 1707-1717 (2003). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 39A12 PDF BibTeX XML Cite \textit{Z. Lü}, Indian J. Pure Appl. Math. 34, No. 12, 1707--1717 (2003; Zbl 1046.26011)
Lü, Zhongxue Some new inverse type Hilbert-Pachpatte inequalities. (English) Zbl 1046.26010 Tamkang J. Math. 34, No. 2, 155-161 (2003). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 PDF BibTeX XML Cite \textit{Z. Lü}, Tamkang J. Math. 34, No. 2, 155--161 (2003; Zbl 1046.26010)
Zhao, Chang Jian On inverses of discrete and continuous Pachpatte inequalities. (Chinese. English summary) Zbl 1046.26014 Acta Math. Sin. 46, No. 6, 1111-1116 (2003). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 PDF BibTeX XML Cite \textit{C. J. Zhao}, Acta Math. Sin. 46, No. 6, 1111--1116 (2003; Zbl 1046.26014)
Lü, Zhongxue On new generalizations of Hilbert-Pachpatte type integral inequalities. (English) Zbl 1024.26015 Tamkang J. Math. 34, No. 1, 63-69 (2003). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 PDF BibTeX XML Cite \textit{Z. Lü}, Tamkang J. Math. 34, No. 1, 63--69 (2003; Zbl 1024.26015)
Handley, G. D.; Koliha, J. J.; Pečarić, J. Hilbert-Pachpatte type integral inequalities for fractional derivatives. (English) Zbl 1030.26012 Fract. Calc. Appl. Anal. 4, No. 1, 37-46 (2001). MSC: 26A33 26D10 26D15 PDF BibTeX XML Cite \textit{G. D. Handley} et al., Fract. Calc. Appl. Anal. 4, No. 1, 37--46 (2001; Zbl 1030.26012)
Yang, Bicheng On Hardy-Hilbert’s integral inequality. (English) Zbl 0989.26012 J. Math. Anal. Appl. 261, No. 1, 295-306 (2001). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26D15 PDF BibTeX XML Cite \textit{B. Yang}, J. Math. Anal. Appl. 261, No. 1, 295--306 (2001; Zbl 0989.26012) Full Text: DOI
Handley, G. D.; Koliha, J. J.; Pečarić, J. E. New Hilbert-Pachpatte type integral inequalities. (English) Zbl 0988.26013 J. Math. Anal. Appl. 257, No. 1, 238-250 (2001). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26D15 PDF BibTeX XML Cite \textit{G. D. Handley} et al., J. Math. Anal. Appl. 257, No. 1, 238--250 (2001; Zbl 0988.26013) Full Text: DOI
Hwang, Dah-Yan An improvement of Pachpatte’s inequalities. (English) Zbl 0976.26010 Kyungpook Math. J. 40, No. 1, 99-101 (2000). MSC: 26D15 PDF BibTeX XML Cite \textit{D.-Y. Hwang}, Kyungpook Math. J. 40, No. 1, 99--101 (2000; Zbl 0976.26010)
Medveď, Milan A new approach to an analysis of Henry type integral inequalities and their Bihari type versions. (English) Zbl 0893.26006 J. Math. Anal. Appl. 214, No. 2, 349-366 (1997). Reviewer: B.G.Pachpatte (Aurangabad) MSC: 26D10 PDF BibTeX XML Cite \textit{M. Medveď}, J. Math. Anal. Appl. 214, No. 2, 349--366 (1997; Zbl 0893.26006) Full Text: DOI
Constantin, Adrian Some observations on a Conti’s result. (English) Zbl 0732.34011 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 2, No. 2, 137-145 (1991). Reviewer: S.S.Dragomir (Timişoara) MSC: 34A40 34A12 34C11 PDF BibTeX XML Cite \textit{A. Constantin}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 2, No. 2, 137--145 (1991; Zbl 0732.34011) Full Text: EuDML
Lin, Chin-Tsai; Wu, Chi-Ming A note on an inequality ascribed to Pachpatte. (English) Zbl 0688.26005 Tamkang J. Math. 20, No. 3, 221-225 (1989). Reviewer: En-Hao Yang MSC: 26D10 45J05 PDF BibTeX XML Cite \textit{C.-T. Lin} and \textit{C.-M. Wu}, Tamkang J. Math. 20, No. 3, 221--225 (1989; Zbl 0688.26005)
Bondge, B. K.; Pachpatte, B. G. On two independent variable generalizations of certain integral inequalities. (English) Zbl 0452.26010 Tamkang J. Math. 11, 37-47 (1980). MSC: 26D15 45K05 PDF BibTeX XML Cite \textit{B. K. Bondge} and \textit{B. G. Pachpatte}, Tamkang J. Math. 11, 37--47 (1980; Zbl 0452.26010)
Lin, Chin-Tsai A note on Pachpatte’s inequality. (English) Zbl 0443.26013 Tamkang J. Math. 9, 129-133 (1978). MSC: 26D15 PDF BibTeX XML Cite \textit{C.-T. Lin}, Tamkang J. Math. 9, 129--133 (1978; Zbl 0443.26013)